Greatest Common Factor of 211/588, 7472/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 211/588, 7472/544

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 211/588,7472/544

Given fractions are 211/588,7472/544

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 211,7472

Greatest Common Factor of Numerators i.e. GCF of 211,7472 is 1 .

LCM of Denominators means LCM of 588,544 as per the given fractions.

LCM of 588,544 is 79968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 211,7472

GCF of Fractions 211/588,7472/544 is 1/79968

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

Greatest Common Factor of 211,7472 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,7472 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1,2,4,8,16,467,934,1868,3736,7472

Greatest Common Factor

We found the factors 211,7472 . The biggest common factor number is the GCF number.
So the greatest common factor 211,7472 is 1.

Lets's calculate LCM of 588,544

2 588, 544
2 294, 272
147, 136

∴ So the LCM of the given numbers is 2 x 2 x 147 x 136 = 79968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79968

Therefore, the GCF of Fractions 211/588,7472/544 is 1/79968

Least Common Multiple of 588,544 with GCF Formula

Least Common Multiple of 588,544 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 588,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,544) = 4

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

GCF(588,544) x common factors =4 x 1 = 4

LCM(588,544) = ( 588 × 544 ) / 4

LCM(588,544) = 319872 / 4

LCM(588,544) = 79968


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 211/588, 7472/544

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 211/588, 7472/544?

Answer: GCF of Numerators as per given numbers 211/588, 7472/544 is

GCF of Numerators i.e. for 211,7472 is 1

LCM of denominators i.e. for 588,544 is 79968.

Thus, GCF of Fractions is 1/79968.Finally, GCF of Fractions for 211/588, 7472/544 is 1/79968.