Greatest Common Factor of 45/21, 72/32, 837/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/21, 72/32, 837/769

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 45/21,72/32,837/769

Given fractions are 45/21,72/32,837/769

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 45,72,837

Greatest Common Factor of Numerators i.e. GCF of 45,72,837 is 9 .

LCM of Denominators means LCM of 21,32,769 as per the given fractions.

LCM of 21,32,769 is 516768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,72,837

GCF of Fractions 45/21,72/32,837/769 is 9/516768

3 45, 72, 837
3 15, 24, 279
5, 8, 93

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 45,72,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,72,837 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 45,72,837 . The biggest common factor number is the GCF number.
So the greatest common factor 45,72,837 is 9.

Lets's calculate LCM of 21,32,769

Given numbers has no common factors except 1. So, there LCM is their product i.e 516768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/516768

Therefore, the GCF of Fractions 45/21,72/32,837/769 is 9/516768

Least Common Multiple of 21,32,769 with GCF Formula

Least Common Multiple of 21,32,769 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 21,32,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,32,769) = 1

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

GCF(21,32,769) x common factors =1 x 1 = 1

LCM(21,32,769) = ( 21 × 32 × 769 ) / 1

LCM(21,32,769) = 516768 / 1

LCM(21,32,769) = 516768


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 45/21, 72/32, 837/769

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 45/21, 72/32, 837/769?

Answer: GCF of Numerators as per given numbers 45/21, 72/32, 837/769 is

GCF of Numerators i.e. for 45,72,837 is 9

LCM of denominators i.e. for 21,32,769 is 516768.

Thus, GCF of Fractions is 9/516768.Finally, GCF of Fractions for 45/21, 72/32, 837/769 is 9/516768.