Greatest Common Factor of 961/165, 675/253, 852/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 961/165, 675/253, 852/610

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 961/165,675/253,852/610

Given fractions are 961/165,675/253,852/610

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 961,675,852

Greatest Common Factor of Numerators i.e. GCF of 961,675,852 is 1 .

LCM of Denominators means LCM of 165,253,610 as per the given fractions.

LCM of 165,253,610 is 462990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 961,675,852

GCF of Fractions 961/165,675/253,852/610 is 1/462990

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

Greatest Common Factor of 961,675,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,675,852 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 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 961,675,852 . The biggest common factor number is the GCF number.
So the greatest common factor 961,675,852 is 1.

Lets's calculate LCM of 165,253,610

5 165, 253, 610
11 33, 253, 122
3, 23, 122

∴ So the LCM of the given numbers is 5 x 11 x 3 x 23 x 122 = 462990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462990

Therefore, the GCF of Fractions 961/165,675/253,852/610 is 1/462990

Least Common Multiple of 165,253,610 with GCF Formula

Least Common Multiple of 165,253,610 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 165,253,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,253,610) = 1

common factors(in case of two or more numbers have common factors) = 55

GCF(165,253,610) x common factors =1 x 55 = 55

LCM(165,253,610) = ( 165 × 253 × 610 ) / 55

LCM(165,253,610) = 25464450 / 55

LCM(165,253,610) = 462990


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 961/165, 675/253, 852/610

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 961/165, 675/253, 852/610?

Answer: GCF of Numerators as per given numbers 961/165, 675/253, 852/610 is

GCF of Numerators i.e. for 961,675,852 is 1

LCM of denominators i.e. for 165,253,610 is 462990.

Thus, GCF of Fractions is 1/462990.Finally, GCF of Fractions for 961/165, 675/253, 852/610 is 1/462990.