Greatest Common Factor of 95/14, 26/37, 41/40, 452/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/14, 26/37, 41/40, 452/56

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 95/14,26/37,41/40,452/56

Given fractions are 95/14,26/37,41/40,452/56

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 95,26,41,452

Greatest Common Factor of Numerators i.e. GCF of 95,26,41,452 is 1 .

LCM of Denominators means LCM of 14,37,40,56 as per the given fractions.

LCM of 14,37,40,56 is 10360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,26,41,452

GCF of Fractions 95/14,26/37,41/40,452/56 is 1/10360

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

Greatest Common Factor of 95,26,41,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,26,41,452 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 95,26,41,452 . The biggest common factor number is the GCF number.
So the greatest common factor 95,26,41,452 is 1.

Lets's calculate LCM of 14,37,40,56

2 14, 37, 40, 56
2 7, 37, 20, 28
2 7, 37, 10, 14
7 7, 37, 5, 7
1, 37, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 37 x 5 x 1 = 10360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10360

Therefore, the GCF of Fractions 95/14,26/37,41/40,452/56 is 1/10360

Least Common Multiple of 14,37,40,56 with GCF Formula

Least Common Multiple of 14,37,40,56 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 14,37,40,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,37,40,56) = 1

common factors(in case of two or more numbers have common factors) = 112

GCF(14,37,40,56) x common factors =1 x 112 = 112

LCM(14,37,40,56) = ( 14 × 37 × 40 × 56 ) / 112

LCM(14,37,40,56) = 1160320 / 112

LCM(14,37,40,56) = 10360


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 95/14, 26/37, 41/40, 452/56

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 95/14, 26/37, 41/40, 452/56?

Answer: GCF of Numerators as per given numbers 95/14, 26/37, 41/40, 452/56 is

GCF of Numerators i.e. for 95,26,41,452 is 1

LCM of denominators i.e. for 14,37,40,56 is 10360.

Thus, GCF of Fractions is 1/10360.Finally, GCF of Fractions for 95/14, 26/37, 41/40, 452/56 is 1/10360.