Greatest Common Factor of 56/11, 50/16, 128/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/11, 50/16, 128/731

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 56/11,50/16,128/731

Given fractions are 56/11,50/16,128/731

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 56,50,128

Greatest Common Factor of Numerators i.e. GCF of 56,50,128 is 2 .

LCM of Denominators means LCM of 11,16,731 as per the given fractions.

LCM of 11,16,731 is 128656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,50,128

GCF of Fractions 56/11,50/16,128/731 is 2/128656

2 56, 50, 128
28, 25, 64

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 56,50,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,50,128 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

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 56,50,128 . The biggest common factor number is the GCF number.
So the greatest common factor 56,50,128 is 2.

Lets's calculate LCM of 11,16,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 128656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/128656

Therefore, the GCF of Fractions 56/11,50/16,128/731 is 2/128656

Least Common Multiple of 11,16,731 with GCF Formula

Least Common Multiple of 11,16,731 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 11,16,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,16,731) = 1

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

GCF(11,16,731) x common factors =1 x 1 = 1

LCM(11,16,731) = ( 11 × 16 × 731 ) / 1

LCM(11,16,731) = 128656 / 1

LCM(11,16,731) = 128656


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 56/11, 50/16, 128/731

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 56/11, 50/16, 128/731?

Answer: GCF of Numerators as per given numbers 56/11, 50/16, 128/731 is

GCF of Numerators i.e. for 56,50,128 is 2

LCM of denominators i.e. for 11,16,731 is 128656.

Thus, GCF of Fractions is 2/128656.Finally, GCF of Fractions for 56/11, 50/16, 128/731 is 2/128656.