Greatest Common Factor of 360/62, 6724/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 360/62, 6724/976

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 360/62,6724/976

Given fractions are 360/62,6724/976

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 360,6724

Greatest Common Factor of Numerators i.e. GCF of 360,6724 is 4 .

LCM of Denominators means LCM of 62,976 as per the given fractions.

LCM of 62,976 is 30256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,6724

GCF of Fractions 360/62,6724/976 is 4/30256

2 360, 6724
2 180, 3362
90, 1681

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

Greatest Common Factor of 360,6724 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,6724 By Matching Biggest Common Factor Method

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

Factors of 6724

List of positive integer factors of 6724 that divides 6724 without a remainder.

1,2,4,41,82,164,1681,3362,6724

Greatest Common Factor

We found the factors 360,6724 . The biggest common factor number is the GCF number.
So the greatest common factor 360,6724 is 4.


Lets's calculate LCM of 62,976

2 62, 976
31, 488

∴ So the LCM of the given numbers is 2 x 31 x 488 = 30256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/30256

Therefore, the GCF of Fractions 360/62,6724/976 is 4/30256

Least Common Multiple of 62,976 with GCF Formula

Least Common Multiple of 62,976 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 62,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,976) = 2

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

GCF(62,976) x common factors =2 x 1 = 2

LCM(62,976) = ( 62 × 976 ) / 2

LCM(62,976) = 60512 / 2

LCM(62,976) = 30256


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 360/62, 6724/976

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 360/62, 6724/976?

Answer: GCF of Numerators as per given numbers 360/62, 6724/976 is

GCF of Numerators i.e. for 360,6724 is 4

LCM of denominators i.e. for 62,976 is 30256.

Thus, GCF of Fractions is 4/30256.Finally, GCF of Fractions for 360/62, 6724/976 is 4/30256.