Greatest Common Factor of 472/53, 2180/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 472/53, 2180/440

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 472/53,2180/440

Given fractions are 472/53,2180/440

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 472,2180

Greatest Common Factor of Numerators i.e. GCF of 472,2180 is 4 .

LCM of Denominators means LCM of 53,440 as per the given fractions.

LCM of 53,440 is 23320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 472,2180

GCF of Fractions 472/53,2180/440 is 4/23320

2 472, 2180
2 236, 1090
118, 545

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 472,2180 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,2180 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 2180

List of positive integer factors of 2180 that divides 2180 without a remainder.

1,2,4,5,10,20,109,218,436,545,1090,2180

Greatest Common Factor

We found the factors 472,2180 . The biggest common factor number is the GCF number.
So the greatest common factor 472,2180 is 4.

Lets's calculate LCM of 53,440

Given numbers has no common factors except 1. So, there LCM is their product i.e 23320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/23320

Therefore, the GCF of Fractions 472/53,2180/440 is 4/23320

Least Common Multiple of 53,440 with GCF Formula

Least Common Multiple of 53,440 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 53,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,440) = 1

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

GCF(53,440) x common factors =1 x 1 = 1

LCM(53,440) = ( 53 × 440 ) / 1

LCM(53,440) = 23320 / 1

LCM(53,440) = 23320


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 472/53, 2180/440

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 472/53, 2180/440?

Answer: GCF of Numerators as per given numbers 472/53, 2180/440 is

GCF of Numerators i.e. for 472,2180 is 4

LCM of denominators i.e. for 53,440 is 23320.

Thus, GCF of Fractions is 4/23320.Finally, GCF of Fractions for 472/53, 2180/440 is 4/23320.