Greatest Common Factor of 91/64, 228/52, 672/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 91/64, 228/52, 672/462

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 91/64,228/52,672/462

Given fractions are 91/64,228/52,672/462

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 91,228,672

Greatest Common Factor of Numerators i.e. GCF of 91,228,672 is 1 .

LCM of Denominators means LCM of 64,52,462 as per the given fractions.

LCM of 64,52,462 is 192192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 91,228,672

GCF of Fractions 91/64,228/52,672/462 is 1/192192

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

Greatest Common Factor of 91,228,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,228,672 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 91,228,672 . The biggest common factor number is the GCF number.
So the greatest common factor 91,228,672 is 1.

Lets's calculate LCM of 64,52,462

2 64, 52, 462
2 32, 26, 231
16, 13, 231

∴ So the LCM of the given numbers is 2 x 2 x 16 x 13 x 231 = 192192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192192

Therefore, the GCF of Fractions 91/64,228/52,672/462 is 1/192192

Least Common Multiple of 64,52,462 with GCF Formula

Least Common Multiple of 64,52,462 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 64,52,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,52,462) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(64,52,462) x common factors =2 x 4 = 8

LCM(64,52,462) = ( 64 × 52 × 462 ) / 8

LCM(64,52,462) = 1537536 / 8

LCM(64,52,462) = 192192


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 91/64, 228/52, 672/462

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 91/64, 228/52, 672/462?

Answer: GCF of Numerators as per given numbers 91/64, 228/52, 672/462 is

GCF of Numerators i.e. for 91,228,672 is 1

LCM of denominators i.e. for 64,52,462 is 192192.

Thus, GCF of Fractions is 1/192192.Finally, GCF of Fractions for 91/64, 228/52, 672/462 is 1/192192.