Greatest Common Factor of 9102/634, 9142/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9102/634, 9142/128

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 9102/634,9142/128

Given fractions are 9102/634,9142/128

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 9102,9142

Greatest Common Factor of Numerators i.e. GCF of 9102,9142 is 2 .

LCM of Denominators means LCM of 634,128 as per the given fractions.

LCM of 634,128 is 40576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9102,9142

GCF of Fractions 9102/634,9142/128 is 2/40576

2 9102, 9142
4551, 4571

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9102,9142 By Matching Biggest Common Factor Method

Greatest Common Factor of 9102,9142 By Matching Biggest Common Factor Method

Factors of 9102

List of positive integer factors of 9102 that divides 9102 without a remainder.

1,2,3,6,37,41,74,82,111,123,222,246,1517,3034,4551,9102

Factors of 9142

List of positive integer factors of 9142 that divides 9142 without a remainder.

1,2,7,14,653,1306,4571,9142

Greatest Common Factor

We found the factors 9102,9142 . The biggest common factor number is the GCF number.
So the greatest common factor 9102,9142 is 2.

Lets's calculate LCM of 634,128

2 634, 128
317, 64

∴ So the LCM of the given numbers is 2 x 317 x 64 = 40576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40576

Therefore, the GCF of Fractions 9102/634,9142/128 is 2/40576

Least Common Multiple of 634,128 with GCF Formula

Least Common Multiple of 634,128 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 634,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,128) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(634,128) x common factors =2 x 1 = 2

LCM(634,128) = ( 634 × 128 ) / 2

LCM(634,128) = 81152 / 2

LCM(634,128) = 40576


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 9102/634, 9142/128

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 9102/634, 9142/128?

Answer: GCF of Numerators as per given numbers 9102/634, 9142/128 is

GCF of Numerators i.e. for 9102,9142 is 2

LCM of denominators i.e. for 634,128 is 40576.

Thus, GCF of Fractions is 2/40576.Finally, GCF of Fractions for 9102/634, 9142/128 is 2/40576.