Greatest Common Factor of 4712/48, 2924/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4712/48, 2924/121

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 4712/48,2924/121

Given fractions are 4712/48,2924/121

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 4712,2924

Greatest Common Factor of Numerators i.e. GCF of 4712,2924 is 4 .

LCM of Denominators means LCM of 48,121 as per the given fractions.

LCM of 48,121 is 5808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4712,2924

GCF of Fractions 4712/48,2924/121 is 4/5808

2 4712, 2924
2 2356, 1462
1178, 731

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4712,2924 By Matching Biggest Common Factor Method

Greatest Common Factor of 4712,2924 By Matching Biggest Common Factor Method

Factors of 4712

List of positive integer factors of 4712 that divides 4712 without a remainder.

1,2,4,8,19,31,38,62,76,124,152,248,589,1178,2356,4712

Factors of 2924

List of positive integer factors of 2924 that divides 2924 without a remainder.

1,2,4,17,34,43,68,86,172,731,1462,2924

Greatest Common Factor

We found the factors 4712,2924 . The biggest common factor number is the GCF number.
So the greatest common factor 4712,2924 is 4.

Lets's calculate LCM of 48,121

Given numbers has no common factors except 1. So, there LCM is their product i.e 5808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5808

Therefore, the GCF of Fractions 4712/48,2924/121 is 4/5808

Least Common Multiple of 48,121 with GCF Formula

Least Common Multiple of 48,121 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 48,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,121) = 1

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

GCF(48,121) x common factors =1 x 1 = 1

LCM(48,121) = ( 48 × 121 ) / 1

LCM(48,121) = 5808 / 1

LCM(48,121) = 5808


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 4712/48, 2924/121

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 4712/48, 2924/121?

Answer: GCF of Numerators as per given numbers 4712/48, 2924/121 is

GCF of Numerators i.e. for 4712,2924 is 4

LCM of denominators i.e. for 48,121 is 5808.

Thus, GCF of Fractions is 4/5808.Finally, GCF of Fractions for 4712/48, 2924/121 is 4/5808.