Greatest Common Factor of 944/4686, 456/6952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 944/4686, 456/6952

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 944/4686,456/6952

Given fractions are 944/4686,456/6952

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 944,456

Greatest Common Factor of Numerators i.e. GCF of 944,456 is 8 .

LCM of Denominators means LCM of 4686,6952 as per the given fractions.

LCM of 4686,6952 is 1480776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 944,456

GCF of Fractions 944/4686,456/6952 is 8/1480776

2 944, 456
2 472, 228
2 236, 114
118, 57

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 944,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,456 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 944,456 . The biggest common factor number is the GCF number.
So the greatest common factor 944,456 is 8.

Lets's calculate LCM of 4686,6952

2 4686, 6952
11 2343, 3476
213, 316

∴ So the LCM of the given numbers is 2 x 11 x 213 x 316 = 1480776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1480776

Therefore, the GCF of Fractions 944/4686,456/6952 is 8/1480776

Least Common Multiple of 4686,6952 with GCF Formula

Least Common Multiple of 4686,6952 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 4686,6952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4686,6952) = 22

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

GCF(4686,6952) x common factors =22 x 1 = 22

LCM(4686,6952) = ( 4686 × 6952 ) / 22

LCM(4686,6952) = 32577072 / 22

LCM(4686,6952) = 1480776


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 944/4686, 456/6952

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 944/4686, 456/6952?

Answer: GCF of Numerators as per given numbers 944/4686, 456/6952 is

GCF of Numerators i.e. for 944,456 is 8

LCM of denominators i.e. for 4686,6952 is 1480776.

Thus, GCF of Fractions is 8/1480776.Finally, GCF of Fractions for 944/4686, 456/6952 is 8/1480776.