Greatest Common Factor of 967/401, 162/548, 596/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 967/401, 162/548, 596/724

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 967/401,162/548,596/724

Given fractions are 967/401,162/548,596/724

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 967,162,596

Greatest Common Factor of Numerators i.e. GCF of 967,162,596 is 1 .

LCM of Denominators means LCM of 401,548,724 as per the given fractions.

LCM of 401,548,724 is 39774388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 967,162,596

GCF of Fractions 967/401,162/548,596/724 is 1/39774388

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

Greatest Common Factor of 967,162,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,162,596 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 967,162,596 . The biggest common factor number is the GCF number.
So the greatest common factor 967,162,596 is 1.

Lets's calculate LCM of 401,548,724

2 401, 548, 724
2 401, 274, 362
401, 137, 181

∴ So the LCM of the given numbers is 2 x 2 x 401 x 137 x 181 = 39774388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39774388

Therefore, the GCF of Fractions 967/401,162/548,596/724 is 1/39774388

Least Common Multiple of 401,548,724 with GCF Formula

Least Common Multiple of 401,548,724 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 401,548,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,548,724) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(401,548,724) x common factors =1 x 4 = 4

LCM(401,548,724) = ( 401 × 548 × 724 ) / 4

LCM(401,548,724) = 159097552 / 4

LCM(401,548,724) = 39774388


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 967/401, 162/548, 596/724

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 967/401, 162/548, 596/724?

Answer: GCF of Numerators as per given numbers 967/401, 162/548, 596/724 is

GCF of Numerators i.e. for 967,162,596 is 1

LCM of denominators i.e. for 401,548,724 is 39774388.

Thus, GCF of Fractions is 1/39774388.Finally, GCF of Fractions for 967/401, 162/548, 596/724 is 1/39774388.