Greatest Common Factor of 617/37, 542/65, 500/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 617/37, 542/65, 500/70

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 617/37,542/65,500/70

Given fractions are 617/37,542/65,500/70

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 617,542,500

Greatest Common Factor of Numerators i.e. GCF of 617,542,500 is 1 .

LCM of Denominators means LCM of 37,65,70 as per the given fractions.

LCM of 37,65,70 is 33670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 617,542,500

GCF of Fractions 617/37,542/65,500/70 is 1/33670

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

Greatest Common Factor of 617,542,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,542,500 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 617,542,500 . The biggest common factor number is the GCF number.
So the greatest common factor 617,542,500 is 1.

Lets's calculate LCM of 37,65,70

5 37, 65, 70
37, 13, 14

∴ So the LCM of the given numbers is 5 x 37 x 13 x 14 = 33670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33670

Therefore, the GCF of Fractions 617/37,542/65,500/70 is 1/33670

Least Common Multiple of 37,65,70 with GCF Formula

Least Common Multiple of 37,65,70 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 37,65,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,65,70) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(37,65,70) x common factors =1 x 5 = 5

LCM(37,65,70) = ( 37 × 65 × 70 ) / 5

LCM(37,65,70) = 168350 / 5

LCM(37,65,70) = 33670


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 617/37, 542/65, 500/70

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 617/37, 542/65, 500/70?

Answer: GCF of Numerators as per given numbers 617/37, 542/65, 500/70 is

GCF of Numerators i.e. for 617,542,500 is 1

LCM of denominators i.e. for 37,65,70 is 33670.

Thus, GCF of Fractions is 1/33670.Finally, GCF of Fractions for 617/37, 542/65, 500/70 is 1/33670.