Greatest Common Factor of 134/44, 102/79, 756/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 134/44, 102/79, 756/777

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 134/44,102/79,756/777

Given fractions are 134/44,102/79,756/777

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 134,102,756

Greatest Common Factor of Numerators i.e. GCF of 134,102,756 is 2 .

LCM of Denominators means LCM of 44,79,777 as per the given fractions.

LCM of 44,79,777 is 2700852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 134,102,756

GCF of Fractions 134/44,102/79,756/777 is 2/2700852

2 134, 102, 756
67, 51, 378

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

Greatest Common Factor of 134,102,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,102,756 By Matching Biggest Common Factor Method

Factors of 134

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

1,2,67,134

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 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 134,102,756 . The biggest common factor number is the GCF number.
So the greatest common factor 134,102,756 is 2.

Lets's calculate LCM of 44,79,777

Given numbers has no common factors except 1. So, there LCM is their product i.e 2700852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2700852

Therefore, the GCF of Fractions 134/44,102/79,756/777 is 2/2700852

Least Common Multiple of 44,79,777 with GCF Formula

Least Common Multiple of 44,79,777 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 44,79,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,79,777) = 1

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

GCF(44,79,777) x common factors =1 x 1 = 1

LCM(44,79,777) = ( 44 × 79 × 777 ) / 1

LCM(44,79,777) = 2700852 / 1

LCM(44,79,777) = 2700852


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 134/44, 102/79, 756/777

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 134/44, 102/79, 756/777?

Answer: GCF of Numerators as per given numbers 134/44, 102/79, 756/777 is

GCF of Numerators i.e. for 134,102,756 is 2

LCM of denominators i.e. for 44,79,777 is 2700852.

Thus, GCF of Fractions is 2/2700852.Finally, GCF of Fractions for 134/44, 102/79, 756/777 is 2/2700852.