Greatest Common Factor of 7221/162, 9143/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7221/162, 9143/315

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 7221/162,9143/315

Given fractions are 7221/162,9143/315

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 7221,9143

Greatest Common Factor of Numerators i.e. GCF of 7221,9143 is 1 .

LCM of Denominators means LCM of 162,315 as per the given fractions.

LCM of 162,315 is 5670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7221,9143

GCF of Fractions 7221/162,9143/315 is 1/5670

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

Greatest Common Factor of 7221,9143 By Matching Biggest Common Factor Method

Greatest Common Factor of 7221,9143 By Matching Biggest Common Factor Method

Factors of 7221

List of positive integer factors of 7221 that divides 7221 without a remainder.

1,3,29,83,87,249,2407,7221

Factors of 9143

List of positive integer factors of 9143 that divides 9143 without a remainder.

1,41,223,9143

Greatest Common Factor

We found the factors 7221,9143 . The biggest common factor number is the GCF number.
So the greatest common factor 7221,9143 is 1.

Lets's calculate LCM of 162,315

3 162, 315
3 54, 105
18, 35

∴ So the LCM of the given numbers is 3 x 3 x 18 x 35 = 5670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5670

Therefore, the GCF of Fractions 7221/162,9143/315 is 1/5670

Least Common Multiple of 162,315 with GCF Formula

Least Common Multiple of 162,315 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 162,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,315) = 9

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

GCF(162,315) x common factors =9 x 1 = 9

LCM(162,315) = ( 162 × 315 ) / 9

LCM(162,315) = 51030 / 9

LCM(162,315) = 5670


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 7221/162, 9143/315

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 7221/162, 9143/315?

Answer: GCF of Numerators as per given numbers 7221/162, 9143/315 is

GCF of Numerators i.e. for 7221,9143 is 1

LCM of denominators i.e. for 162,315 is 5670.

Thus, GCF of Fractions is 1/5670.Finally, GCF of Fractions for 7221/162, 9143/315 is 1/5670.