Greatest Common Factor of 48/1, 38/6, 66/8, 86/9, 970/7, 45/8, 71/7, 651/7, 89/4, 75/3

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/1, 38/6, 66/8, 86/9, 970/7, 45/8, 71/7, 651/7, 89/4, 75/3

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 48/1,38/6,66/8,86/9,970/7,45/8,71/7,651/7,89/4,75/3

Given fractions are 48/1,38/6,66/8,86/9,970/7,45/8,71/7,651/7,89/4,75/3

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 48,38,66,86,970,45,71,651,89,75

Greatest Common Factor of Numerators i.e. GCF of 48,38,66,86,970,45,71,651,89,75 is 1 .

LCM of Denominators means LCM of 1,6,8,9,7,8,7,7,4,3 as per the given fractions.

LCM of 1,6,8,9,7,8,7,7,4,3 is 504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,38,66,86,970,45,71,651,89,75

GCF of Fractions 48/1,38/6,66/8,86/9,970/7,45/8,71/7,651/7,89/4,75/3 is 1/504

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 48,38,66,86,970,45,71,651,89,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,38,66,86,970,45,71,651,89,75 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Greatest Common Factor

We found the factors 48,38,66,86,970,45,71,651,89,75 . The biggest common factor number is the GCF number.
So the greatest common factor 48,38,66,86,970,45,71,651,89,75 is 1.

Lets's calculate LCM of 1,6,8,9,7,8,7,7,4,3

2 1, 6, 8, 9, 7, 8, 7, 7, 4, 3
2 1, 3, 4, 9, 7, 4, 7, 7, 2, 3
2 1, 3, 1, 9, 7, 2, 7, 7, 2, 3
3 1, 3, 1, 9, 7, 1, 7, 7, 1, 3
7 1, 1, 1, 1, 7, 1, 7, 7, 1, 3
1, 1, 1, 1, 1, 1, 1, 1, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 3 = 504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/504

Therefore, the GCF of Fractions 48/1,38/6,66/8,86/9,970/7,45/8,71/7,651/7,89/4,75/3 is 1/504

Least Common Multiple of 1,6,8,9,7,8,7,7,4,3 with GCF Formula

Least Common Multiple of 1,6,8,9,7,8,7,7,4,3 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1,6,8,9,7,8,7,7,4,3 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,6,8,9,7,8,7,7,4,3) = 1

common factors(in case of two or more numbers have common factors) = 28224

GCF(1,6,8,9,7,8,7,7,4,3) x common factors =1 x 28224 = 28224

LCM(1,6,8,9,7,8,7,7,4,3) = ( 1 × 6 × 8 × 9 × 7 × 8 × 7 × 7 × 4 × 3 ) / 28224

LCM(1,6,8,9,7,8,7,7,4,3) = 14224896 / 28224

LCM(1,6,8,9,7,8,7,7,4,3) = 504


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 48/1, 38/6, 66/8, 86/9, 970/7, 45/8, 71/7, 651/7, 89/4, 75/3

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 48/1, 38/6, 66/8, 86/9, 970/7, 45/8, 71/7, 651/7, 89/4, 75/3?

Answer: GCF of Numerators as per given numbers 48/1, 38/6, 66/8, 86/9, 970/7, 45/8, 71/7, 651/7, 89/4, 75/3 is

GCF of Numerators i.e. for 48,38,66,86,970,45,71,651,89,75 is 1

LCM of denominators i.e. for 1,6,8,9,7,8,7,7,4,3 is 504.

Thus, GCF of Fractions is 1/504.Finally, GCF of Fractions for 48/1, 38/6, 66/8, 86/9, 970/7, 45/8, 71/7, 651/7, 89/4, 75/3 is 1/504.