Greatest Common Factor of 661/744, 418/948, 909/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 661/744, 418/948, 909/996

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 661/744,418/948,909/996

Given fractions are 661/744,418/948,909/996

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 661,418,909

Greatest Common Factor of Numerators i.e. GCF of 661,418,909 is 1 .

LCM of Denominators means LCM of 744,948,996 as per the given fractions.

LCM of 744,948,996 is 4878408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 661,418,909

GCF of Fractions 661/744,418/948,909/996 is 1/4878408

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

Greatest Common Factor of 661,418,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 661,418,909 By Matching Biggest Common Factor Method

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 661,418,909 . The biggest common factor number is the GCF number.
So the greatest common factor 661,418,909 is 1.

Lets's calculate LCM of 744,948,996

2 744, 948, 996
2 372, 474, 498
3 186, 237, 249
62, 79, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 62 x 79 x 83 = 4878408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4878408

Therefore, the GCF of Fractions 661/744,418/948,909/996 is 1/4878408

Least Common Multiple of 744,948,996 with GCF Formula

Least Common Multiple of 744,948,996 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 744,948,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,948,996) = 12

common factors(in case of two or more numbers have common factors) = 12

GCF(744,948,996) x common factors =12 x 12 = 144

LCM(744,948,996) = ( 744 × 948 × 996 ) / 144

LCM(744,948,996) = 702490752 / 144

LCM(744,948,996) = 4878408


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 661/744, 418/948, 909/996

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 661/744, 418/948, 909/996?

Answer: GCF of Numerators as per given numbers 661/744, 418/948, 909/996 is

GCF of Numerators i.e. for 661,418,909 is 1

LCM of denominators i.e. for 744,948,996 is 4878408.

Thus, GCF of Fractions is 1/4878408.Finally, GCF of Fractions for 661/744, 418/948, 909/996 is 1/4878408.