Greatest Common Factor of 815/56, 132/26, 128/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 815/56, 132/26, 128/408

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 815/56,132/26,128/408

Given fractions are 815/56,132/26,128/408

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 815,132,128

Greatest Common Factor of Numerators i.e. GCF of 815,132,128 is 1 .

LCM of Denominators means LCM of 56,26,408 as per the given fractions.

LCM of 56,26,408 is 37128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 815,132,128

GCF of Fractions 815/56,132/26,128/408 is 1/37128

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

Greatest Common Factor of 815,132,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,132,128 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 815,132,128 . The biggest common factor number is the GCF number.
So the greatest common factor 815,132,128 is 1.

Lets's calculate LCM of 56,26,408

2 56, 26, 408
2 28, 13, 204
2 14, 13, 102
7, 13, 51

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 13 x 51 = 37128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37128

Therefore, the GCF of Fractions 815/56,132/26,128/408 is 1/37128

Least Common Multiple of 56,26,408 with GCF Formula

Least Common Multiple of 56,26,408 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 56,26,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,26,408) = 2

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

GCF(56,26,408) x common factors =2 x 8 = 16

LCM(56,26,408) = ( 56 × 26 × 408 ) / 16

LCM(56,26,408) = 594048 / 16

LCM(56,26,408) = 37128


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 815/56, 132/26, 128/408

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 815/56, 132/26, 128/408?

Answer: GCF of Numerators as per given numbers 815/56, 132/26, 128/408 is

GCF of Numerators i.e. for 815,132,128 is 1

LCM of denominators i.e. for 56,26,408 is 37128.

Thus, GCF of Fractions is 1/37128.Finally, GCF of Fractions for 815/56, 132/26, 128/408 is 1/37128.