Greatest Common Factor of 797/456, 334/382, 246/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 797/456, 334/382, 246/917

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 797/456,334/382,246/917

Given fractions are 797/456,334/382,246/917

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 797,334,246

Greatest Common Factor of Numerators i.e. GCF of 797,334,246 is 1 .

LCM of Denominators means LCM of 456,382,917 as per the given fractions.

LCM of 456,382,917 is 79867032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 797,334,246

GCF of Fractions 797/456,334/382,246/917 is 1/79867032

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 797,334,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,334,246 By Matching Biggest Common Factor Method

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 797,334,246 . The biggest common factor number is the GCF number.
So the greatest common factor 797,334,246 is 1.

Lets's calculate LCM of 456,382,917

2 456, 382, 917
228, 191, 917

∴ So the LCM of the given numbers is 2 x 228 x 191 x 917 = 79867032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79867032

Therefore, the GCF of Fractions 797/456,334/382,246/917 is 1/79867032

Least Common Multiple of 456,382,917 with GCF Formula

Least Common Multiple of 456,382,917 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 456,382,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,382,917) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(456,382,917) x common factors =1 x 2 = 2

LCM(456,382,917) = ( 456 × 382 × 917 ) / 2

LCM(456,382,917) = 159734064 / 2

LCM(456,382,917) = 79867032


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 797/456, 334/382, 246/917

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 797/456, 334/382, 246/917?

Answer: GCF of Numerators as per given numbers 797/456, 334/382, 246/917 is

GCF of Numerators i.e. for 797,334,246 is 1

LCM of denominators i.e. for 456,382,917 is 79867032.

Thus, GCF of Fractions is 1/79867032.Finally, GCF of Fractions for 797/456, 334/382, 246/917 is 1/79867032.