Greatest Common Factor of 472/23, 1056/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 472/23, 1056/311

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 472/23,1056/311

Given fractions are 472/23,1056/311

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 472,1056

Greatest Common Factor of Numerators i.e. GCF of 472,1056 is 8 .

LCM of Denominators means LCM of 23,311 as per the given fractions.

LCM of 23,311 is 7153 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 472,1056

GCF of Fractions 472/23,1056/311 is 8/7153

2 472, 1056
2 236, 528
2 118, 264
59, 132

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 472,1056 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,1056 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 1056

List of positive integer factors of 1056 that divides 1056 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,66,88,96,132,176,264,352,528,1056

Greatest Common Factor

We found the factors 472,1056 . The biggest common factor number is the GCF number.
So the greatest common factor 472,1056 is 8.

Lets's calculate LCM of 23,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 7153

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/7153

Therefore, the GCF of Fractions 472/23,1056/311 is 8/7153

Least Common Multiple of 23,311 with GCF Formula

Least Common Multiple of 23,311 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 23,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,311) = 1

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

GCF(23,311) x common factors =1 x 1 = 1

LCM(23,311) = ( 23 × 311 ) / 1

LCM(23,311) = 7153 / 1

LCM(23,311) = 7153


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 472/23, 1056/311

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 472/23, 1056/311?

Answer: GCF of Numerators as per given numbers 472/23, 1056/311 is

GCF of Numerators i.e. for 472,1056 is 8

LCM of denominators i.e. for 23,311 is 7153.

Thus, GCF of Fractions is 8/7153.Finally, GCF of Fractions for 472/23, 1056/311 is 8/7153.