Greatest Common Factor of 68/3, 63/3, 51/9, 16/2, 158/2, 60/3, 98/1, 887/6, 61/5, 38/2

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/3, 63/3, 51/9, 16/2, 158/2, 60/3, 98/1, 887/6, 61/5, 38/2

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 68/3,63/3,51/9,16/2,158/2,60/3,98/1,887/6,61/5,38/2

Given fractions are 68/3,63/3,51/9,16/2,158/2,60/3,98/1,887/6,61/5,38/2

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 68,63,51,16,158,60,98,887,61,38

Greatest Common Factor of Numerators i.e. GCF of 68,63,51,16,158,60,98,887,61,38 is 1 .

LCM of Denominators means LCM of 3,3,9,2,2,3,1,6,5,2 as per the given fractions.

LCM of 3,3,9,2,2,3,1,6,5,2 is 90 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,63,51,16,158,60,98,887,61,38

GCF of Fractions 68/3,63/3,51/9,16/2,158/2,60/3,98/1,887/6,61/5,38/2 is 1/90

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

Greatest Common Factor of 68,63,51,16,158,60,98,887,61,38 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,63,51,16,158,60,98,887,61,38 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 38

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

1,2,19,38

Greatest Common Factor

We found the factors 68,63,51,16,158,60,98,887,61,38 . The biggest common factor number is the GCF number.
So the greatest common factor 68,63,51,16,158,60,98,887,61,38 is 1.

Lets's calculate LCM of 3,3,9,2,2,3,1,6,5,2

2 3, 3, 9, 2, 2, 3, 1, 6, 5, 2
3 3, 3, 9, 1, 1, 3, 1, 3, 5, 1
1, 1, 1, 1, 1, 1, 1, 3, 5, 1

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 3 x 5 x 1 = 90

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90

Therefore, the GCF of Fractions 68/3,63/3,51/9,16/2,158/2,60/3,98/1,887/6,61/5,38/2 is 1/90

Least Common Multiple of 3,3,9,2,2,3,1,6,5,2 with GCF Formula

Least Common Multiple of 3,3,9,2,2,3,1,6,5,2 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 3,3,9,2,2,3,1,6,5,2 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,3,9,2,2,3,1,6,5,2) = 1

common factors(in case of two or more numbers have common factors) = 648

GCF(3,3,9,2,2,3,1,6,5,2) x common factors =1 x 648 = 648

LCM(3,3,9,2,2,3,1,6,5,2) = ( 3 × 3 × 9 × 2 × 2 × 3 × 1 × 6 × 5 × 2 ) / 648

LCM(3,3,9,2,2,3,1,6,5,2) = 58320 / 648

LCM(3,3,9,2,2,3,1,6,5,2) = 90


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 68/3, 63/3, 51/9, 16/2, 158/2, 60/3, 98/1, 887/6, 61/5, 38/2

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 68/3, 63/3, 51/9, 16/2, 158/2, 60/3, 98/1, 887/6, 61/5, 38/2?

Answer: GCF of Numerators as per given numbers 68/3, 63/3, 51/9, 16/2, 158/2, 60/3, 98/1, 887/6, 61/5, 38/2 is

GCF of Numerators i.e. for 68,63,51,16,158,60,98,887,61,38 is 1

LCM of denominators i.e. for 3,3,9,2,2,3,1,6,5,2 is 90.

Thus, GCF of Fractions is 1/90.Finally, GCF of Fractions for 68/3, 63/3, 51/9, 16/2, 158/2, 60/3, 98/1, 887/6, 61/5, 38/2 is 1/90.