Greatest Common Factor of 737/56, 5038/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 737/56, 5038/128

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 737/56,5038/128

Given fractions are 737/56,5038/128

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 737,5038

Greatest Common Factor of Numerators i.e. GCF of 737,5038 is 11 .

LCM of Denominators means LCM of 56,128 as per the given fractions.

LCM of 56,128 is 896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 737,5038

GCF of Fractions 737/56,5038/128 is 11/896

11 737, 5038
67, 458

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 737,5038 By Matching Biggest Common Factor Method

Greatest Common Factor of 737,5038 By Matching Biggest Common Factor Method

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 5038

List of positive integer factors of 5038 that divides 5038 without a remainder.

1,2,11,22,229,458,2519,5038

Greatest Common Factor

We found the factors 737,5038 . The biggest common factor number is the GCF number.
So the greatest common factor 737,5038 is 11.

Lets's calculate LCM of 56,128

2 56, 128
2 28, 64
2 14, 32
7, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 16 = 896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/896

Therefore, the GCF of Fractions 737/56,5038/128 is 11/896

Least Common Multiple of 56,128 with GCF Formula

Least Common Multiple of 56,128 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 56,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,128) = 8

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

GCF(56,128) x common factors =8 x 1 = 8

LCM(56,128) = ( 56 × 128 ) / 8

LCM(56,128) = 7168 / 8

LCM(56,128) = 896


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 737/56, 5038/128

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 737/56, 5038/128?

Answer: GCF of Numerators as per given numbers 737/56, 5038/128 is

GCF of Numerators i.e. for 737,5038 is 11

LCM of denominators i.e. for 56,128 is 896.

Thus, GCF of Fractions is 11/896.Finally, GCF of Fractions for 737/56, 5038/128 is 11/896.