Greatest Common Factor of 643/62, 580/52, 117/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 643/62, 580/52, 117/689

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 643/62,580/52,117/689

Given fractions are 643/62,580/52,117/689

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 643,580,117

Greatest Common Factor of Numerators i.e. GCF of 643,580,117 is 1 .

LCM of Denominators means LCM of 62,52,689 as per the given fractions.

LCM of 62,52,689 is 85436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 643,580,117

GCF of Fractions 643/62,580/52,117/689 is 1/85436

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

Greatest Common Factor of 643,580,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,580,117 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 643,580,117 . The biggest common factor number is the GCF number.
So the greatest common factor 643,580,117 is 1.

Lets's calculate LCM of 62,52,689

2 62, 52, 689
13 31, 26, 689
31, 2, 53

∴ So the LCM of the given numbers is 2 x 13 x 31 x 2 x 53 = 85436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85436

Therefore, the GCF of Fractions 643/62,580/52,117/689 is 1/85436

Least Common Multiple of 62,52,689 with GCF Formula

Least Common Multiple of 62,52,689 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 62,52,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,52,689) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(62,52,689) x common factors =1 x 26 = 26

LCM(62,52,689) = ( 62 × 52 × 689 ) / 26

LCM(62,52,689) = 2221336 / 26

LCM(62,52,689) = 85436


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 643/62, 580/52, 117/689

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 643/62, 580/52, 117/689?

Answer: GCF of Numerators as per given numbers 643/62, 580/52, 117/689 is

GCF of Numerators i.e. for 643,580,117 is 1

LCM of denominators i.e. for 62,52,689 is 85436.

Thus, GCF of Fractions is 1/85436.Finally, GCF of Fractions for 643/62, 580/52, 117/689 is 1/85436.