Greatest Common Factor of 527/77, 521/97, 339/83

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 527/77, 521/97, 339/83

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 527/77,521/97,339/83

Given fractions are 527/77,521/97,339/83

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 527,521,339

Greatest Common Factor of Numerators i.e. GCF of 527,521,339 is 1 .

LCM of Denominators means LCM of 77,97,83 as per the given fractions.

LCM of 77,97,83 is 619927 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 527,521,339

GCF of Fractions 527/77,521/97,339/83 is 1/619927

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

Greatest Common Factor of 527,521,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,521,339 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 527,521,339 . The biggest common factor number is the GCF number.
So the greatest common factor 527,521,339 is 1.

Lets's calculate LCM of 77,97,83

Given numbers has no common factors except 1. So, there LCM is their product i.e 619927

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/619927

Therefore, the GCF of Fractions 527/77,521/97,339/83 is 1/619927

Least Common Multiple of 77,97,83 with GCF Formula

Least Common Multiple of 77,97,83 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 77,97,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,97,83) = 1

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

GCF(77,97,83) x common factors =1 x 1 = 1

LCM(77,97,83) = ( 77 × 97 × 83 ) / 1

LCM(77,97,83) = 619927 / 1

LCM(77,97,83) = 619927


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 527/77, 521/97, 339/83

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 527/77, 521/97, 339/83?

Answer: GCF of Numerators as per given numbers 527/77, 521/97, 339/83 is

GCF of Numerators i.e. for 527,521,339 is 1

LCM of denominators i.e. for 77,97,83 is 619927.

Thus, GCF of Fractions is 1/619927.Finally, GCF of Fractions for 527/77, 521/97, 339/83 is 1/619927.