Greatest Common Factor of 511/53, 579/42, 543/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 511/53, 579/42, 543/502

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 511/53,579/42,543/502

Given fractions are 511/53,579/42,543/502

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 511,579,543

Greatest Common Factor of Numerators i.e. GCF of 511,579,543 is 1 .

LCM of Denominators means LCM of 53,42,502 as per the given fractions.

LCM of 53,42,502 is 558726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 511,579,543

GCF of Fractions 511/53,579/42,543/502 is 1/558726

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

Greatest Common Factor of 511,579,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 511,579,543 By Matching Biggest Common Factor Method

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 511,579,543 . The biggest common factor number is the GCF number.
So the greatest common factor 511,579,543 is 1.

Lets's calculate LCM of 53,42,502

2 53, 42, 502
53, 21, 251

∴ So the LCM of the given numbers is 2 x 53 x 21 x 251 = 558726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/558726

Therefore, the GCF of Fractions 511/53,579/42,543/502 is 1/558726

Least Common Multiple of 53,42,502 with GCF Formula

Least Common Multiple of 53,42,502 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 53,42,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,42,502) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,42,502) x common factors =1 x 2 = 2

LCM(53,42,502) = ( 53 × 42 × 502 ) / 2

LCM(53,42,502) = 1117452 / 2

LCM(53,42,502) = 558726


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 511/53, 579/42, 543/502

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 511/53, 579/42, 543/502?

Answer: GCF of Numerators as per given numbers 511/53, 579/42, 543/502 is

GCF of Numerators i.e. for 511,579,543 is 1

LCM of denominators i.e. for 53,42,502 is 558726.

Thus, GCF of Fractions is 1/558726.Finally, GCF of Fractions for 511/53, 579/42, 543/502 is 1/558726.