Greatest Common Factor of 102/40, 134/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 102/40, 134/937

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 102/40,134/937

Given fractions are 102/40,134/937

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 102,134

Greatest Common Factor of Numerators i.e. GCF of 102,134 is 2 .

LCM of Denominators means LCM of 40,937 as per the given fractions.

LCM of 40,937 is 37480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 102,134

GCF of Fractions 102/40,134/937 is 2/37480

2 102, 134
51, 67

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

Greatest Common Factor of 102,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,134 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 102,134 . The biggest common factor number is the GCF number.
So the greatest common factor 102,134 is 2.

Lets's calculate LCM of 40,937

Given numbers has no common factors except 1. So, there LCM is their product i.e 37480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37480

Therefore, the GCF of Fractions 102/40,134/937 is 2/37480

Least Common Multiple of 40,937 with GCF Formula

Least Common Multiple of 40,937 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 40,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,937) = 1

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

GCF(40,937) x common factors =1 x 1 = 1

LCM(40,937) = ( 40 × 937 ) / 1

LCM(40,937) = 37480 / 1

LCM(40,937) = 37480


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 102/40, 134/937

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 102/40, 134/937?

Answer: GCF of Numerators as per given numbers 102/40, 134/937 is

GCF of Numerators i.e. for 102,134 is 2

LCM of denominators i.e. for 40,937 is 37480.

Thus, GCF of Fractions is 2/37480.Finally, GCF of Fractions for 102/40, 134/937 is 2/37480.