Greatest Common Factor of 80/72, 25/82, 30/45, 91/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/72, 25/82, 30/45, 91/450

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 80/72,25/82,30/45,91/450

Given fractions are 80/72,25/82,30/45,91/450

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 80,25,30,91

Greatest Common Factor of Numerators i.e. GCF of 80,25,30,91 is 1 .

LCM of Denominators means LCM of 72,82,45,450 as per the given fractions.

LCM of 72,82,45,450 is 73800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,25,30,91

GCF of Fractions 80/72,25/82,30/45,91/450 is 1/73800

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

Greatest Common Factor of 80,25,30,91 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,25,30,91 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Greatest Common Factor

We found the factors 80,25,30,91 . The biggest common factor number is the GCF number.
So the greatest common factor 80,25,30,91 is 1.

Lets's calculate LCM of 72,82,45,450

2 72, 82, 45, 450
3 36, 41, 45, 225
3 12, 41, 15, 75
5 4, 41, 5, 25
4, 41, 1, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 4 x 41 x 1 x 5 = 73800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73800

Therefore, the GCF of Fractions 80/72,25/82,30/45,91/450 is 1/73800

Least Common Multiple of 72,82,45,450 with GCF Formula

Least Common Multiple of 72,82,45,450 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 72,82,45,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,82,45,450) = 1

common factors(in case of two or more numbers have common factors) = 1620

GCF(72,82,45,450) x common factors =1 x 1620 = 1620

LCM(72,82,45,450) = ( 72 × 82 × 45 × 450 ) / 1620

LCM(72,82,45,450) = 119556000 / 1620

LCM(72,82,45,450) = 73800


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 80/72, 25/82, 30/45, 91/450

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 80/72, 25/82, 30/45, 91/450?

Answer: GCF of Numerators as per given numbers 80/72, 25/82, 30/45, 91/450 is

GCF of Numerators i.e. for 80,25,30,91 is 1

LCM of denominators i.e. for 72,82,45,450 is 73800.

Thus, GCF of Fractions is 1/73800.Finally, GCF of Fractions for 80/72, 25/82, 30/45, 91/450 is 1/73800.