Greatest Common Factor of 796/655, 6114/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 796/655, 6114/435

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 796/655,6114/435

Given fractions are 796/655,6114/435

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 796,6114

Greatest Common Factor of Numerators i.e. GCF of 796,6114 is 2 .

LCM of Denominators means LCM of 655,435 as per the given fractions.

LCM of 655,435 is 56985 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 796,6114

GCF of Fractions 796/655,6114/435 is 2/56985

2 796, 6114
398, 3057

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

Greatest Common Factor of 796,6114 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,6114 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 6114

List of positive integer factors of 6114 that divides 6114 without a remainder.

1,2,3,6,1019,2038,3057,6114

Greatest Common Factor

We found the factors 796,6114 . The biggest common factor number is the GCF number.
So the greatest common factor 796,6114 is 2.

Lets's calculate LCM of 655,435

5 655, 435
131, 87

∴ So the LCM of the given numbers is 5 x 131 x 87 = 56985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56985

Therefore, the GCF of Fractions 796/655,6114/435 is 2/56985

Least Common Multiple of 655,435 with GCF Formula

Least Common Multiple of 655,435 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 655,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,435) = 5

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

GCF(655,435) x common factors =5 x 1 = 5

LCM(655,435) = ( 655 × 435 ) / 5

LCM(655,435) = 284925 / 5

LCM(655,435) = 56985


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 796/655, 6114/435

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 796/655, 6114/435?

Answer: GCF of Numerators as per given numbers 796/655, 6114/435 is

GCF of Numerators i.e. for 796,6114 is 2

LCM of denominators i.e. for 655,435 is 56985.

Thus, GCF of Fractions is 2/56985.Finally, GCF of Fractions for 796/655, 6114/435 is 2/56985.