Greatest Common Factor of 45/40, 21/780, 749/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/40, 21/780, 749/962

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 45/40,21/780,749/962

Given fractions are 45/40,21/780,749/962

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 45,21,749

Greatest Common Factor of Numerators i.e. GCF of 45,21,749 is 1 .

LCM of Denominators means LCM of 40,780,962 as per the given fractions.

LCM of 40,780,962 is 57720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,21,749

GCF of Fractions 45/40,21/780,749/962 is 1/57720

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

Greatest Common Factor of 45,21,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,21,749 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 45,21,749 . The biggest common factor number is the GCF number.
So the greatest common factor 45,21,749 is 1.

Lets's calculate LCM of 40,780,962

2 40, 780, 962
2 20, 390, 481
5 10, 195, 481
13 2, 39, 481
2, 3, 37

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 2 x 3 x 37 = 57720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57720

Therefore, the GCF of Fractions 45/40,21/780,749/962 is 1/57720

Least Common Multiple of 40,780,962 with GCF Formula

Least Common Multiple of 40,780,962 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 40,780,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,780,962) = 2

common factors(in case of two or more numbers have common factors) = 260

GCF(40,780,962) x common factors =2 x 260 = 520

LCM(40,780,962) = ( 40 × 780 × 962 ) / 520

LCM(40,780,962) = 30014400 / 520

LCM(40,780,962) = 57720


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 45/40, 21/780, 749/962

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 45/40, 21/780, 749/962?

Answer: GCF of Numerators as per given numbers 45/40, 21/780, 749/962 is

GCF of Numerators i.e. for 45,21,749 is 1

LCM of denominators i.e. for 40,780,962 is 57720.

Thus, GCF of Fractions is 1/57720.Finally, GCF of Fractions for 45/40, 21/780, 749/962 is 1/57720.