Greatest Common Factor of 958/56, 564/6831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 958/56, 564/6831

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 958/56,564/6831

Given fractions are 958/56,564/6831

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 958,564

Greatest Common Factor of Numerators i.e. GCF of 958,564 is 2 .

LCM of Denominators means LCM of 56,6831 as per the given fractions.

LCM of 56,6831 is 382536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 958,564

GCF of Fractions 958/56,564/6831 is 2/382536

2 958, 564
479, 282

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

Greatest Common Factor of 958,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,564 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 958,564 . The biggest common factor number is the GCF number.
So the greatest common factor 958,564 is 2.

Lets's calculate LCM of 56,6831

Given numbers has no common factors except 1. So, there LCM is their product i.e 382536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/382536

Therefore, the GCF of Fractions 958/56,564/6831 is 2/382536

Least Common Multiple of 56,6831 with GCF Formula

Least Common Multiple of 56,6831 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 56,6831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,6831) = 1

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

GCF(56,6831) x common factors =1 x 1 = 1

LCM(56,6831) = ( 56 × 6831 ) / 1

LCM(56,6831) = 382536 / 1

LCM(56,6831) = 382536


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 958/56, 564/6831

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 958/56, 564/6831?

Answer: GCF of Numerators as per given numbers 958/56, 564/6831 is

GCF of Numerators i.e. for 958,564 is 2

LCM of denominators i.e. for 56,6831 is 382536.

Thus, GCF of Fractions is 2/382536.Finally, GCF of Fractions for 958/56, 564/6831 is 2/382536.