Greatest Common Factor of 4822/976, 4076/6531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4822/976, 4076/6531

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 4822/976,4076/6531

Given fractions are 4822/976,4076/6531

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 4822,4076

Greatest Common Factor of Numerators i.e. GCF of 4822,4076 is 2 .

LCM of Denominators means LCM of 976,6531 as per the given fractions.

LCM of 976,6531 is 6374256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4822,4076

GCF of Fractions 4822/976,4076/6531 is 2/6374256

2 4822, 4076
2411, 2038

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

Greatest Common Factor of 4822,4076 By Matching Biggest Common Factor Method

Greatest Common Factor of 4822,4076 By Matching Biggest Common Factor Method

Factors of 4822

List of positive integer factors of 4822 that divides 4822 without a remainder.

1,2,2411,4822

Factors of 4076

List of positive integer factors of 4076 that divides 4076 without a remainder.

1,2,4,1019,2038,4076

Greatest Common Factor

We found the factors 4822,4076 . The biggest common factor number is the GCF number.
So the greatest common factor 4822,4076 is 2.

Lets's calculate LCM of 976,6531

Given numbers has no common factors except 1. So, there LCM is their product i.e 6374256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6374256

Therefore, the GCF of Fractions 4822/976,4076/6531 is 2/6374256

Least Common Multiple of 976,6531 with GCF Formula

Least Common Multiple of 976,6531 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 976,6531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,6531) = 1

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

GCF(976,6531) x common factors =1 x 1 = 1

LCM(976,6531) = ( 976 × 6531 ) / 1

LCM(976,6531) = 6374256 / 1

LCM(976,6531) = 6374256


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 4822/976, 4076/6531

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 4822/976, 4076/6531?

Answer: GCF of Numerators as per given numbers 4822/976, 4076/6531 is

GCF of Numerators i.e. for 4822,4076 is 2

LCM of denominators i.e. for 976,6531 is 6374256.

Thus, GCF of Fractions is 2/6374256.Finally, GCF of Fractions for 4822/976, 4076/6531 is 2/6374256.