Greatest Common Factor of 527/37, 642/83, 650/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 527/37, 642/83, 650/278

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 527/37,642/83,650/278

Given fractions are 527/37,642/83,650/278

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 527,642,650

Greatest Common Factor of Numerators i.e. GCF of 527,642,650 is 1 .

LCM of Denominators means LCM of 37,83,278 as per the given fractions.

LCM of 37,83,278 is 853738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 527,642,650

GCF of Fractions 527/37,642/83,650/278 is 1/853738

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

Greatest Common Factor of 527,642,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,642,650 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 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 527,642,650 . The biggest common factor number is the GCF number.
So the greatest common factor 527,642,650 is 1.


Lets's calculate LCM of 37,83,278

Given numbers has no common factors except 1. So, there LCM is their product i.e 853738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/853738

Therefore, the GCF of Fractions 527/37,642/83,650/278 is 1/853738

Least Common Multiple of 37,83,278 with GCF Formula

Least Common Multiple of 37,83,278 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 37,83,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,83,278) = 1

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

GCF(37,83,278) x common factors =1 x 1 = 1

LCM(37,83,278) = ( 37 × 83 × 278 ) / 1

LCM(37,83,278) = 853738 / 1

LCM(37,83,278) = 853738


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 527/37, 642/83, 650/278

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 527/37, 642/83, 650/278?

Answer: GCF of Numerators as per given numbers 527/37, 642/83, 650/278 is

GCF of Numerators i.e. for 527,642,650 is 1

LCM of denominators i.e. for 37,83,278 is 853738.

Thus, GCF of Fractions is 1/853738.Finally, GCF of Fractions for 527/37, 642/83, 650/278 is 1/853738.