Greatest Common Factor of 20/907, 44/662, 996/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/907, 44/662, 996/509

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 20/907,44/662,996/509

Given fractions are 20/907,44/662,996/509

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 20,44,996

Greatest Common Factor of Numerators i.e. GCF of 20,44,996 is 4 .

LCM of Denominators means LCM of 907,662,509 as per the given fractions.

LCM of 907,662,509 is 305620906 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,44,996

GCF of Fractions 20/907,44/662,996/509 is 4/305620906

2 20, 44, 996
2 10, 22, 498
5, 11, 249

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

Greatest Common Factor of 20,44,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,44,996 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 20,44,996 . The biggest common factor number is the GCF number.
So the greatest common factor 20,44,996 is 4.

Lets's calculate LCM of 907,662,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 305620906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/305620906

Therefore, the GCF of Fractions 20/907,44/662,996/509 is 4/305620906

Least Common Multiple of 907,662,509 with GCF Formula

Least Common Multiple of 907,662,509 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 907,662,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,662,509) = 1

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

GCF(907,662,509) x common factors =1 x 1 = 1

LCM(907,662,509) = ( 907 × 662 × 509 ) / 1

LCM(907,662,509) = 305620906 / 1

LCM(907,662,509) = 305620906


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 20/907, 44/662, 996/509

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 20/907, 44/662, 996/509?

Answer: GCF of Numerators as per given numbers 20/907, 44/662, 996/509 is

GCF of Numerators i.e. for 20,44,996 is 4

LCM of denominators i.e. for 907,662,509 is 305620906.

Thus, GCF of Fractions is 4/305620906.Finally, GCF of Fractions for 20/907, 44/662, 996/509 is 4/305620906.