Greatest Common Factor of 531/112, 2426/4711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 531/112, 2426/4711

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 531/112,2426/4711

Given fractions are 531/112,2426/4711

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 531,2426

Greatest Common Factor of Numerators i.e. GCF of 531,2426 is 1 .

LCM of Denominators means LCM of 112,4711 as per the given fractions.

LCM of 112,4711 is 75376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 531,2426

GCF of Fractions 531/112,2426/4711 is 1/75376

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

Greatest Common Factor of 531,2426 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,2426 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 2426

List of positive integer factors of 2426 that divides 2426 without a remainder.

1,2,1213,2426

Greatest Common Factor

We found the factors 531,2426 . The biggest common factor number is the GCF number.
So the greatest common factor 531,2426 is 1.

Lets's calculate LCM of 112,4711

7 112, 4711
16, 673

∴ So the LCM of the given numbers is 7 x 16 x 673 = 75376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75376

Therefore, the GCF of Fractions 531/112,2426/4711 is 1/75376

Least Common Multiple of 112,4711 with GCF Formula

Least Common Multiple of 112,4711 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 112,4711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,4711) = 7

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

GCF(112,4711) x common factors =7 x 1 = 7

LCM(112,4711) = ( 112 × 4711 ) / 7

LCM(112,4711) = 527632 / 7

LCM(112,4711) = 75376


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 531/112, 2426/4711

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 531/112, 2426/4711?

Answer: GCF of Numerators as per given numbers 531/112, 2426/4711 is

GCF of Numerators i.e. for 531,2426 is 1

LCM of denominators i.e. for 112,4711 is 75376.

Thus, GCF of Fractions is 1/75376.Finally, GCF of Fractions for 531/112, 2426/4711 is 1/75376.