Greatest Common Factor of 9/82, 15/87, 90/379, 789/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/82, 15/87, 90/379, 789/664

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 9/82,15/87,90/379,789/664

Given fractions are 9/82,15/87,90/379,789/664

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 9,15,90,789

Greatest Common Factor of Numerators i.e. GCF of 9,15,90,789 is 3 .

LCM of Denominators means LCM of 82,87,379,664 as per the given fractions.

LCM of 82,87,379,664 is 897656952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,15,90,789

GCF of Fractions 9/82,15/87,90/379,789/664 is 3/897656952

3 9, 15, 90, 789
3, 5, 30, 263

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

Greatest Common Factor of 9,15,90,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,15,90,789 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 9,15,90,789 . The biggest common factor number is the GCF number.
So the greatest common factor 9,15,90,789 is 3.

Lets's calculate LCM of 82,87,379,664

2 82, 87, 379, 664
41, 87, 379, 332

∴ So the LCM of the given numbers is 2 x 41 x 87 x 379 x 332 = 897656952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/897656952

Therefore, the GCF of Fractions 9/82,15/87,90/379,789/664 is 3/897656952

Least Common Multiple of 82,87,379,664 with GCF Formula

Least Common Multiple of 82,87,379,664 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 82,87,379,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,87,379,664) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,87,379,664) x common factors =1 x 2 = 2

LCM(82,87,379,664) = ( 82 × 87 × 379 × 664 ) / 2

LCM(82,87,379,664) = 1795313904 / 2

LCM(82,87,379,664) = 897656952


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 9/82, 15/87, 90/379, 789/664

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 9/82, 15/87, 90/379, 789/664?

Answer: GCF of Numerators as per given numbers 9/82, 15/87, 90/379, 789/664 is

GCF of Numerators i.e. for 9,15,90,789 is 3

LCM of denominators i.e. for 82,87,379,664 is 897656952.

Thus, GCF of Fractions is 3/897656952.Finally, GCF of Fractions for 9/82, 15/87, 90/379, 789/664 is 3/897656952.