Greatest Common Factor of 797/564, 4868/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 797/564, 4868/616

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 797/564,4868/616

Given fractions are 797/564,4868/616

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 797,4868

Greatest Common Factor of Numerators i.e. GCF of 797,4868 is 1 .

LCM of Denominators means LCM of 564,616 as per the given fractions.

LCM of 564,616 is 86856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 797,4868

GCF of Fractions 797/564,4868/616 is 1/86856

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

Greatest Common Factor of 797,4868 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,4868 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 4868

List of positive integer factors of 4868 that divides 4868 without a remainder.

1,2,4,1217,2434,4868

Greatest Common Factor

We found the factors 797,4868 . The biggest common factor number is the GCF number.
So the greatest common factor 797,4868 is 1.

Lets's calculate LCM of 564,616

2 564, 616
2 282, 308
141, 154

∴ So the LCM of the given numbers is 2 x 2 x 141 x 154 = 86856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86856

Therefore, the GCF of Fractions 797/564,4868/616 is 1/86856

Least Common Multiple of 564,616 with GCF Formula

Least Common Multiple of 564,616 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 564,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,616) = 4

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

GCF(564,616) x common factors =4 x 1 = 4

LCM(564,616) = ( 564 × 616 ) / 4

LCM(564,616) = 347424 / 4

LCM(564,616) = 86856


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 797/564, 4868/616

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 797/564, 4868/616?

Answer: GCF of Numerators as per given numbers 797/564, 4868/616 is

GCF of Numerators i.e. for 797,4868 is 1

LCM of denominators i.e. for 564,616 is 86856.

Thus, GCF of Fractions is 1/86856.Finally, GCF of Fractions for 797/564, 4868/616 is 1/86856.