Greatest Common Factor of 117/1722, 420/6908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 117/1722, 420/6908

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 117/1722,420/6908

Given fractions are 117/1722,420/6908

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 117,420

Greatest Common Factor of Numerators i.e. GCF of 117,420 is 3 .

LCM of Denominators means LCM of 1722,6908 as per the given fractions.

LCM of 1722,6908 is 5947788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 117,420

GCF of Fractions 117/1722,420/6908 is 3/5947788

3 117, 420
39, 140

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 117,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,420 By Matching Biggest Common Factor Method

Factors of 117

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

1,3,9,13,39,117

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 117,420 . The biggest common factor number is the GCF number.
So the greatest common factor 117,420 is 3.

Lets's calculate LCM of 1722,6908

2 1722, 6908
861, 3454

∴ So the LCM of the given numbers is 2 x 861 x 3454 = 5947788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5947788

Therefore, the GCF of Fractions 117/1722,420/6908 is 3/5947788

Least Common Multiple of 1722,6908 with GCF Formula

Least Common Multiple of 1722,6908 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 1722,6908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1722,6908) = 2

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

GCF(1722,6908) x common factors =2 x 1 = 2

LCM(1722,6908) = ( 1722 × 6908 ) / 2

LCM(1722,6908) = 11895576 / 2

LCM(1722,6908) = 5947788


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 117/1722, 420/6908

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 117/1722, 420/6908?

Answer: GCF of Numerators as per given numbers 117/1722, 420/6908 is

GCF of Numerators i.e. for 117,420 is 3

LCM of denominators i.e. for 1722,6908 is 5947788.

Thus, GCF of Fractions is 3/5947788.Finally, GCF of Fractions for 117/1722, 420/6908 is 3/5947788.