Greatest Common Factor of 631/44, 531/56, 149/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 631/44, 531/56, 149/92

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 631/44,531/56,149/92

Given fractions are 631/44,531/56,149/92

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 631,531,149

Greatest Common Factor of Numerators i.e. GCF of 631,531,149 is 1 .

LCM of Denominators means LCM of 44,56,92 as per the given fractions.

LCM of 44,56,92 is 14168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 631,531,149

GCF of Fractions 631/44,531/56,149/92 is 1/14168

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

Greatest Common Factor of 631,531,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,531,149 By Matching Biggest Common Factor Method

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 631,531,149 . The biggest common factor number is the GCF number.
So the greatest common factor 631,531,149 is 1.

Lets's calculate LCM of 44,56,92

2 44, 56, 92
2 22, 28, 46
11, 14, 23

∴ So the LCM of the given numbers is 2 x 2 x 11 x 14 x 23 = 14168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14168

Therefore, the GCF of Fractions 631/44,531/56,149/92 is 1/14168

Least Common Multiple of 44,56,92 with GCF Formula

Least Common Multiple of 44,56,92 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 44,56,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,56,92) = 4

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

GCF(44,56,92) x common factors =4 x 4 = 16

LCM(44,56,92) = ( 44 × 56 × 92 ) / 16

LCM(44,56,92) = 226688 / 16

LCM(44,56,92) = 14168


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 631/44, 531/56, 149/92

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 631/44, 531/56, 149/92?

Answer: GCF of Numerators as per given numbers 631/44, 531/56, 149/92 is

GCF of Numerators i.e. for 631,531,149 is 1

LCM of denominators i.e. for 44,56,92 is 14168.

Thus, GCF of Fractions is 1/14168.Finally, GCF of Fractions for 631/44, 531/56, 149/92 is 1/14168.