Greatest Common Factor of 43/528, 211/558, 218/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/528, 211/558, 218/562

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 43/528,211/558,218/562

Given fractions are 43/528,211/558,218/562

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 43,211,218

Greatest Common Factor of Numerators i.e. GCF of 43,211,218 is 1 .

LCM of Denominators means LCM of 528,558,562 as per the given fractions.

LCM of 528,558,562 is 13798224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,211,218

GCF of Fractions 43/528,211/558,218/562 is 1/13798224

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

Greatest Common Factor of 43,211,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,211,218 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 211

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

1,211

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 43,211,218 . The biggest common factor number is the GCF number.
So the greatest common factor 43,211,218 is 1.

Lets's calculate LCM of 528,558,562

2 528, 558, 562
3 264, 279, 281
88, 93, 281

∴ So the LCM of the given numbers is 2 x 3 x 88 x 93 x 281 = 13798224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13798224

Therefore, the GCF of Fractions 43/528,211/558,218/562 is 1/13798224

Least Common Multiple of 528,558,562 with GCF Formula

Least Common Multiple of 528,558,562 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 528,558,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,558,562) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(528,558,562) x common factors =2 x 6 = 12

LCM(528,558,562) = ( 528 × 558 × 562 ) / 12

LCM(528,558,562) = 165578688 / 12

LCM(528,558,562) = 13798224


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 43/528, 211/558, 218/562

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 43/528, 211/558, 218/562?

Answer: GCF of Numerators as per given numbers 43/528, 211/558, 218/562 is

GCF of Numerators i.e. for 43,211,218 is 1

LCM of denominators i.e. for 528,558,562 is 13798224.

Thus, GCF of Fractions is 1/13798224.Finally, GCF of Fractions for 43/528, 211/558, 218/562 is 1/13798224.