Greatest Common Factor of 9647/72, 9162/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9647/72, 9162/456

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 9647/72,9162/456

Given fractions are 9647/72,9162/456

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 9647,9162

Greatest Common Factor of Numerators i.e. GCF of 9647,9162 is 1 .

LCM of Denominators means LCM of 72,456 as per the given fractions.

LCM of 72,456 is 1368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9647,9162

GCF of Fractions 9647/72,9162/456 is 1/1368

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

Greatest Common Factor of 9647,9162 By Matching Biggest Common Factor Method

Greatest Common Factor of 9647,9162 By Matching Biggest Common Factor Method

Factors of 9647

List of positive integer factors of 9647 that divides 9647 without a remainder.

1,11,877,9647

Factors of 9162

List of positive integer factors of 9162 that divides 9162 without a remainder.

1,2,3,6,9,18,509,1018,1527,3054,4581,9162

Greatest Common Factor

We found the factors 9647,9162 . The biggest common factor number is the GCF number.
So the greatest common factor 9647,9162 is 1.

Lets's calculate LCM of 72,456

2 72, 456
2 36, 228
2 18, 114
3 9, 57
3, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 19 = 1368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1368

Therefore, the GCF of Fractions 9647/72,9162/456 is 1/1368

Least Common Multiple of 72,456 with GCF Formula

Least Common Multiple of 72,456 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 72,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,456) = 24

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

GCF(72,456) x common factors =24 x 1 = 24

LCM(72,456) = ( 72 × 456 ) / 24

LCM(72,456) = 32832 / 24

LCM(72,456) = 1368


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 9647/72, 9162/456

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 9647/72, 9162/456?

Answer: GCF of Numerators as per given numbers 9647/72, 9162/456 is

GCF of Numerators i.e. for 9647,9162 is 1

LCM of denominators i.e. for 72,456 is 1368.

Thus, GCF of Fractions is 1/1368.Finally, GCF of Fractions for 9647/72, 9162/456 is 1/1368.