Greatest Common Factor of 559/14, 391/64, 538/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 559/14, 391/64, 538/431

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 559/14,391/64,538/431

Given fractions are 559/14,391/64,538/431

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 559,391,538

Greatest Common Factor of Numerators i.e. GCF of 559,391,538 is 1 .

LCM of Denominators means LCM of 14,64,431 as per the given fractions.

LCM of 14,64,431 is 193088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 559,391,538

GCF of Fractions 559/14,391/64,538/431 is 1/193088

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

Greatest Common Factor of 559,391,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,391,538 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 559,391,538 . The biggest common factor number is the GCF number.
So the greatest common factor 559,391,538 is 1.

Lets's calculate LCM of 14,64,431

2 14, 64, 431
7, 32, 431

∴ So the LCM of the given numbers is 2 x 7 x 32 x 431 = 193088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193088

Therefore, the GCF of Fractions 559/14,391/64,538/431 is 1/193088

Least Common Multiple of 14,64,431 with GCF Formula

Least Common Multiple of 14,64,431 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 14,64,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,64,431) = 1

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

GCF(14,64,431) x common factors =1 x 2 = 2

LCM(14,64,431) = ( 14 × 64 × 431 ) / 2

LCM(14,64,431) = 386176 / 2

LCM(14,64,431) = 193088


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 559/14, 391/64, 538/431

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 559/14, 391/64, 538/431?

Answer: GCF of Numerators as per given numbers 559/14, 391/64, 538/431 is

GCF of Numerators i.e. for 559,391,538 is 1

LCM of denominators i.e. for 14,64,431 is 193088.

Thus, GCF of Fractions is 1/193088.Finally, GCF of Fractions for 559/14, 391/64, 538/431 is 1/193088.