Greatest Common Factor of 960/735, 3596/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 960/735, 3596/618

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 960/735,3596/618

Given fractions are 960/735,3596/618

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 960,3596

Greatest Common Factor of Numerators i.e. GCF of 960,3596 is 4 .

LCM of Denominators means LCM of 735,618 as per the given fractions.

LCM of 735,618 is 151410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 960,3596

GCF of Fractions 960/735,3596/618 is 4/151410

2 960, 3596
2 480, 1798
240, 899

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 960,3596 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,3596 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 3596

List of positive integer factors of 3596 that divides 3596 without a remainder.

1,2,4,29,31,58,62,116,124,899,1798,3596

Greatest Common Factor

We found the factors 960,3596 . The biggest common factor number is the GCF number.
So the greatest common factor 960,3596 is 4.

Lets's calculate LCM of 735,618

3 735, 618
245, 206

∴ So the LCM of the given numbers is 3 x 245 x 206 = 151410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/151410

Therefore, the GCF of Fractions 960/735,3596/618 is 4/151410

Least Common Multiple of 735,618 with GCF Formula

Least Common Multiple of 735,618 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 735,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,618) = 3

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

GCF(735,618) x common factors =3 x 1 = 3

LCM(735,618) = ( 735 × 618 ) / 3

LCM(735,618) = 454230 / 3

LCM(735,618) = 151410


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 960/735, 3596/618

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 960/735, 3596/618?

Answer: GCF of Numerators as per given numbers 960/735, 3596/618 is

GCF of Numerators i.e. for 960,3596 is 4

LCM of denominators i.e. for 735,618 is 151410.

Thus, GCF of Fractions is 4/151410.Finally, GCF of Fractions for 960/735, 3596/618 is 4/151410.