Greatest Common Factor of 360/76, 906/6512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 360/76, 906/6512

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 360/76,906/6512

Given fractions are 360/76,906/6512

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 360,906

Greatest Common Factor of Numerators i.e. GCF of 360,906 is 6 .

LCM of Denominators means LCM of 76,6512 as per the given fractions.

LCM of 76,6512 is 123728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,906

GCF of Fractions 360/76,906/6512 is 6/123728

2 360, 906
3 180, 453
60, 151

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 360,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,906 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 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 360,906 . The biggest common factor number is the GCF number.
So the greatest common factor 360,906 is 6.

Lets's calculate LCM of 76,6512

2 76, 6512
2 38, 3256
19, 1628

∴ So the LCM of the given numbers is 2 x 2 x 19 x 1628 = 123728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/123728

Therefore, the GCF of Fractions 360/76,906/6512 is 6/123728

Least Common Multiple of 76,6512 with GCF Formula

Least Common Multiple of 76,6512 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 76,6512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,6512) = 4

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

GCF(76,6512) x common factors =4 x 1 = 4

LCM(76,6512) = ( 76 × 6512 ) / 4

LCM(76,6512) = 494912 / 4

LCM(76,6512) = 123728


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 360/76, 906/6512

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 360/76, 906/6512?

Answer: GCF of Numerators as per given numbers 360/76, 906/6512 is

GCF of Numerators i.e. for 360,906 is 6

LCM of denominators i.e. for 76,6512 is 123728.

Thus, GCF of Fractions is 6/123728.Finally, GCF of Fractions for 360/76, 906/6512 is 6/123728.