Greatest Common Factor of 951/48, 724/38, 360/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 951/48, 724/38, 360/904

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 951/48,724/38,360/904

Given fractions are 951/48,724/38,360/904

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 951,724,360

Greatest Common Factor of Numerators i.e. GCF of 951,724,360 is 1 .

LCM of Denominators means LCM of 48,38,904 as per the given fractions.

LCM of 48,38,904 is 103056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 951,724,360

GCF of Fractions 951/48,724/38,360/904 is 1/103056

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

Greatest Common Factor of 951,724,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,724,360 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 951,724,360 . The biggest common factor number is the GCF number.
So the greatest common factor 951,724,360 is 1.

Lets's calculate LCM of 48,38,904

2 48, 38, 904
2 24, 19, 452
2 12, 19, 226
6, 19, 113

∴ So the LCM of the given numbers is 2 x 2 x 2 x 6 x 19 x 113 = 103056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103056

Therefore, the GCF of Fractions 951/48,724/38,360/904 is 1/103056

Least Common Multiple of 48,38,904 with GCF Formula

Least Common Multiple of 48,38,904 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 48,38,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,38,904) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(48,38,904) x common factors =2 x 8 = 16

LCM(48,38,904) = ( 48 × 38 × 904 ) / 16

LCM(48,38,904) = 1648896 / 16

LCM(48,38,904) = 103056


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 951/48, 724/38, 360/904

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 951/48, 724/38, 360/904?

Answer: GCF of Numerators as per given numbers 951/48, 724/38, 360/904 is

GCF of Numerators i.e. for 951,724,360 is 1

LCM of denominators i.e. for 48,38,904 is 103056.

Thus, GCF of Fractions is 1/103056.Finally, GCF of Fractions for 951/48, 724/38, 360/904 is 1/103056.