Greatest Common Factor of 947/64, 224/24, 131/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 947/64, 224/24, 131/65

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 947/64,224/24,131/65

Given fractions are 947/64,224/24,131/65

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 947,224,131

Greatest Common Factor of Numerators i.e. GCF of 947,224,131 is 1 .

LCM of Denominators means LCM of 64,24,65 as per the given fractions.

LCM of 64,24,65 is 12480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 947,224,131

GCF of Fractions 947/64,224/24,131/65 is 1/12480

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

Greatest Common Factor of 947,224,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,224,131 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 947,224,131 . The biggest common factor number is the GCF number.
So the greatest common factor 947,224,131 is 1.

Lets's calculate LCM of 64,24,65

2 64, 24, 65
2 32, 12, 65
2 16, 6, 65
8, 3, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 3 x 65 = 12480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12480

Therefore, the GCF of Fractions 947/64,224/24,131/65 is 1/12480

Least Common Multiple of 64,24,65 with GCF Formula

Least Common Multiple of 64,24,65 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 64,24,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,24,65) = 1

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

GCF(64,24,65) x common factors =1 x 8 = 8

LCM(64,24,65) = ( 64 × 24 × 65 ) / 8

LCM(64,24,65) = 99840 / 8

LCM(64,24,65) = 12480


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 947/64, 224/24, 131/65

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 947/64, 224/24, 131/65?

Answer: GCF of Numerators as per given numbers 947/64, 224/24, 131/65 is

GCF of Numerators i.e. for 947,224,131 is 1

LCM of denominators i.e. for 64,24,65 is 12480.

Thus, GCF of Fractions is 1/12480.Finally, GCF of Fractions for 947/64, 224/24, 131/65 is 1/12480.