Greatest Common Factor of 961/322, 465/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 961/322, 465/968

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 961/322,465/968

Given fractions are 961/322,465/968

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 961,465

Greatest Common Factor of Numerators i.e. GCF of 961,465 is 31 .

LCM of Denominators means LCM of 322,968 as per the given fractions.

LCM of 322,968 is 155848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 961,465

GCF of Fractions 961/322,465/968 is 31/155848

31 961, 465
31, 15

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 961,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,465 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 961,465 . The biggest common factor number is the GCF number.
So the greatest common factor 961,465 is 31.

Lets's calculate LCM of 322,968

2 322, 968
161, 484

∴ So the LCM of the given numbers is 2 x 161 x 484 = 155848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/155848

Therefore, the GCF of Fractions 961/322,465/968 is 31/155848

Least Common Multiple of 322,968 with GCF Formula

Least Common Multiple of 322,968 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 322,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,968) = 2

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

GCF(322,968) x common factors =2 x 1 = 2

LCM(322,968) = ( 322 × 968 ) / 2

LCM(322,968) = 311696 / 2

LCM(322,968) = 155848


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 961/322, 465/968

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 961/322, 465/968?

Answer: GCF of Numerators as per given numbers 961/322, 465/968 is

GCF of Numerators i.e. for 961,465 is 31

LCM of denominators i.e. for 322,968 is 155848.

Thus, GCF of Fractions is 31/155848.Finally, GCF of Fractions for 961/322, 465/968 is 31/155848.