Greatest Common Factor of 48/951, 582/557, 122/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/951, 582/557, 122/942

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 48/951,582/557,122/942

Given fractions are 48/951,582/557,122/942

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 48,582,122

Greatest Common Factor of Numerators i.e. GCF of 48,582,122 is 2 .

LCM of Denominators means LCM of 951,557,942 as per the given fractions.

LCM of 951,557,942 is 166327998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,582,122

GCF of Fractions 48/951,582/557,122/942 is 2/166327998

2 48, 582, 122
24, 291, 61

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

Greatest Common Factor of 48,582,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,582,122 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 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 48,582,122 . The biggest common factor number is the GCF number.
So the greatest common factor 48,582,122 is 2.

Lets's calculate LCM of 951,557,942

3 951, 557, 942
317, 557, 314

∴ So the LCM of the given numbers is 3 x 317 x 557 x 314 = 166327998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/166327998

Therefore, the GCF of Fractions 48/951,582/557,122/942 is 2/166327998

Least Common Multiple of 951,557,942 with GCF Formula

Least Common Multiple of 951,557,942 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 951,557,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,557,942) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(951,557,942) x common factors =1 x 3 = 3

LCM(951,557,942) = ( 951 × 557 × 942 ) / 3

LCM(951,557,942) = 498983994 / 3

LCM(951,557,942) = 166327998


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 48/951, 582/557, 122/942

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 48/951, 582/557, 122/942?

Answer: GCF of Numerators as per given numbers 48/951, 582/557, 122/942 is

GCF of Numerators i.e. for 48,582,122 is 2

LCM of denominators i.e. for 951,557,942 is 166327998.

Thus, GCF of Fractions is 2/166327998.Finally, GCF of Fractions for 48/951, 582/557, 122/942 is 2/166327998.