Greatest Common Factor of 69/436, 981/513, 960/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/436, 981/513, 960/635

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 69/436,981/513,960/635

Given fractions are 69/436,981/513,960/635

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 69,981,960

Greatest Common Factor of Numerators i.e. GCF of 69,981,960 is 3 .

LCM of Denominators means LCM of 436,513,635 as per the given fractions.

LCM of 436,513,635 is 142029180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,981,960

GCF of Fractions 69/436,981/513,960/635 is 3/142029180

3 69, 981, 960
23, 327, 320

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

Greatest Common Factor of 69,981,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,981,960 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

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

Greatest Common Factor

We found the factors 69,981,960 . The biggest common factor number is the GCF number.
So the greatest common factor 69,981,960 is 3.

Lets's calculate LCM of 436,513,635

Given numbers has no common factors except 1. So, there LCM is their product i.e 142029180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/142029180

Therefore, the GCF of Fractions 69/436,981/513,960/635 is 3/142029180

Least Common Multiple of 436,513,635 with GCF Formula

Least Common Multiple of 436,513,635 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 436,513,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,513,635) = 1

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

GCF(436,513,635) x common factors =1 x 1 = 1

LCM(436,513,635) = ( 436 × 513 × 635 ) / 1

LCM(436,513,635) = 142029180 / 1

LCM(436,513,635) = 142029180


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 69/436, 981/513, 960/635

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 69/436, 981/513, 960/635?

Answer: GCF of Numerators as per given numbers 69/436, 981/513, 960/635 is

GCF of Numerators i.e. for 69,981,960 is 3

LCM of denominators i.e. for 436,513,635 is 142029180.

Thus, GCF of Fractions is 3/142029180.Finally, GCF of Fractions for 69/436, 981/513, 960/635 is 3/142029180.