Greatest Common Factor of 48/79, 87/220, 341/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/79, 87/220, 341/924

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 48/79,87/220,341/924

Given fractions are 48/79,87/220,341/924

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 48,87,341

Greatest Common Factor of Numerators i.e. GCF of 48,87,341 is 1 .

LCM of Denominators means LCM of 79,220,924 as per the given fractions.

LCM of 79,220,924 is 364980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,87,341

GCF of Fractions 48/79,87/220,341/924 is 1/364980

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

Greatest Common Factor of 48,87,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,87,341 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 48,87,341 . The biggest common factor number is the GCF number.
So the greatest common factor 48,87,341 is 1.

Lets's calculate LCM of 79,220,924

2 79, 220, 924
2 79, 110, 462
11 79, 55, 231
79, 5, 21

∴ So the LCM of the given numbers is 2 x 2 x 11 x 79 x 5 x 21 = 364980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/364980

Therefore, the GCF of Fractions 48/79,87/220,341/924 is 1/364980

Least Common Multiple of 79,220,924 with GCF Formula

Least Common Multiple of 79,220,924 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 79,220,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,220,924) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(79,220,924) x common factors =1 x 44 = 44

LCM(79,220,924) = ( 79 × 220 × 924 ) / 44

LCM(79,220,924) = 16059120 / 44

LCM(79,220,924) = 364980


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 48/79, 87/220, 341/924

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 48/79, 87/220, 341/924?

Answer: GCF of Numerators as per given numbers 48/79, 87/220, 341/924 is

GCF of Numerators i.e. for 48,87,341 is 1

LCM of denominators i.e. for 79,220,924 is 364980.

Thus, GCF of Fractions is 1/364980.Finally, GCF of Fractions for 48/79, 87/220, 341/924 is 1/364980.