Greatest Common Factor of 4711/57, 5737/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4711/57, 5737/656

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 4711/57,5737/656

Given fractions are 4711/57,5737/656

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 4711,5737

Greatest Common Factor of Numerators i.e. GCF of 4711,5737 is 1 .

LCM of Denominators means LCM of 57,656 as per the given fractions.

LCM of 57,656 is 37392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4711,5737

GCF of Fractions 4711/57,5737/656 is 1/37392

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

Greatest Common Factor of 4711,5737 By Matching Biggest Common Factor Method

Greatest Common Factor of 4711,5737 By Matching Biggest Common Factor Method

Factors of 4711

List of positive integer factors of 4711 that divides 4711 without a remainder.

1,7,673,4711

Factors of 5737

List of positive integer factors of 5737 that divides 5737 without a remainder.

1,5737

Greatest Common Factor

We found the factors 4711,5737 . The biggest common factor number is the GCF number.
So the greatest common factor 4711,5737 is 1.

Lets's calculate LCM of 57,656

Given numbers has no common factors except 1. So, there LCM is their product i.e 37392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37392

Therefore, the GCF of Fractions 4711/57,5737/656 is 1/37392

Least Common Multiple of 57,656 with GCF Formula

Least Common Multiple of 57,656 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 57,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,656) = 1

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

GCF(57,656) x common factors =1 x 1 = 1

LCM(57,656) = ( 57 × 656 ) / 1

LCM(57,656) = 37392 / 1

LCM(57,656) = 37392


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 4711/57, 5737/656

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 4711/57, 5737/656?

Answer: GCF of Numerators as per given numbers 4711/57, 5737/656 is

GCF of Numerators i.e. for 4711,5737 is 1

LCM of denominators i.e. for 57,656 is 37392.

Thus, GCF of Fractions is 1/37392.Finally, GCF of Fractions for 4711/57, 5737/656 is 1/37392.