Greatest Common Factor of 702/131, 776/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 702/131, 776/377

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 702/131,776/377

Given fractions are 702/131,776/377

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 702,776

Greatest Common Factor of Numerators i.e. GCF of 702,776 is 2 .

LCM of Denominators means LCM of 131,377 as per the given fractions.

LCM of 131,377 is 49387 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 702,776

GCF of Fractions 702/131,776/377 is 2/49387

2 702, 776
351, 388

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

Greatest Common Factor of 702,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,776 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 702,776 . The biggest common factor number is the GCF number.
So the greatest common factor 702,776 is 2.

Lets's calculate LCM of 131,377

Given numbers has no common factors except 1. So, there LCM is their product i.e 49387

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49387

Therefore, the GCF of Fractions 702/131,776/377 is 2/49387

Least Common Multiple of 131,377 with GCF Formula

Least Common Multiple of 131,377 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 131,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,377) = 1

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

GCF(131,377) x common factors =1 x 1 = 1

LCM(131,377) = ( 131 × 377 ) / 1

LCM(131,377) = 49387 / 1

LCM(131,377) = 49387


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 702/131, 776/377

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 702/131, 776/377?

Answer: GCF of Numerators as per given numbers 702/131, 776/377 is

GCF of Numerators i.e. for 702,776 is 2

LCM of denominators i.e. for 131,377 is 49387.

Thus, GCF of Fractions is 2/49387.Finally, GCF of Fractions for 702/131, 776/377 is 2/49387.