Greatest Common Factor of 64/9, 55/8, 38/7, 55/1, 348/9, 33/8, 76/8, 929/3, 89/2, 53/2

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 64/9, 55/8, 38/7, 55/1, 348/9, 33/8, 76/8, 929/3, 89/2, 53/2

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 64/9,55/8,38/7,55/1,348/9,33/8,76/8,929/3,89/2,53/2

Given fractions are 64/9,55/8,38/7,55/1,348/9,33/8,76/8,929/3,89/2,53/2

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 64,55,38,55,348,33,76,929,89,53

Greatest Common Factor of Numerators i.e. GCF of 64,55,38,55,348,33,76,929,89,53 is 1 .

LCM of Denominators means LCM of 9,8,7,1,9,8,8,3,2,2 as per the given fractions.

LCM of 9,8,7,1,9,8,8,3,2,2 is 504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 64,55,38,55,348,33,76,929,89,53

GCF of Fractions 64/9,55/8,38/7,55/1,348/9,33/8,76/8,929/3,89/2,53/2 is 1/504

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

Greatest Common Factor of 64,55,38,55,348,33,76,929,89,53 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,55,38,55,348,33,76,929,89,53 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 38

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

1,2,19,38

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 89

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

1,89

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Greatest Common Factor

We found the factors 64,55,38,55,348,33,76,929,89,53 . The biggest common factor number is the GCF number.
So the greatest common factor 64,55,38,55,348,33,76,929,89,53 is 1.

Lets's calculate LCM of 9,8,7,1,9,8,8,3,2,2

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

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

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

Therefore, the GCF of Fractions 64/9,55/8,38/7,55/1,348/9,33/8,76/8,929/3,89/2,53/2 is 1/504

Least Common Multiple of 9,8,7,1,9,8,8,3,2,2 with GCF Formula

Least Common Multiple of 9,8,7,1,9,8,8,3,2,2 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 9,8,7,1,9,8,8,3,2,2 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,8,7,1,9,8,8,3,2,2) = 1

common factors(in case of two or more numbers have common factors) = 6912

GCF(9,8,7,1,9,8,8,3,2,2) x common factors =1 x 6912 = 6912

LCM(9,8,7,1,9,8,8,3,2,2) = ( 9 × 8 × 7 × 1 × 9 × 8 × 8 × 3 × 2 × 2 ) / 6912

LCM(9,8,7,1,9,8,8,3,2,2) = 3483648 / 6912

LCM(9,8,7,1,9,8,8,3,2,2) = 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 64/9, 55/8, 38/7, 55/1, 348/9, 33/8, 76/8, 929/3, 89/2, 53/2

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 64/9, 55/8, 38/7, 55/1, 348/9, 33/8, 76/8, 929/3, 89/2, 53/2?

Answer: GCF of Numerators as per given numbers 64/9, 55/8, 38/7, 55/1, 348/9, 33/8, 76/8, 929/3, 89/2, 53/2 is

GCF of Numerators i.e. for 64,55,38,55,348,33,76,929,89,53 is 1

LCM of denominators i.e. for 9,8,7,1,9,8,8,3,2,2 is 504.

Thus, GCF of Fractions is 1/504.Finally, GCF of Fractions for 64/9, 55/8, 38/7, 55/1, 348/9, 33/8, 76/8, 929/3, 89/2, 53/2 is 1/504.