Greatest Common Factor of 7213/15, 6326/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7213/15, 6326/311

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 7213/15,6326/311

Given fractions are 7213/15,6326/311

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 7213,6326

Greatest Common Factor of Numerators i.e. GCF of 7213,6326 is 1 .

LCM of Denominators means LCM of 15,311 as per the given fractions.

LCM of 15,311 is 4665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7213,6326

GCF of Fractions 7213/15,6326/311 is 1/4665

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

Greatest Common Factor of 7213,6326 By Matching Biggest Common Factor Method

Greatest Common Factor of 7213,6326 By Matching Biggest Common Factor Method

Factors of 7213

List of positive integer factors of 7213 that divides 7213 without a remainder.

1,7213

Factors of 6326

List of positive integer factors of 6326 that divides 6326 without a remainder.

1,2,3163,6326

Greatest Common Factor

We found the factors 7213,6326 . The biggest common factor number is the GCF number.
So the greatest common factor 7213,6326 is 1.

Lets's calculate LCM of 15,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 4665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4665

Therefore, the GCF of Fractions 7213/15,6326/311 is 1/4665

Least Common Multiple of 15,311 with GCF Formula

Least Common Multiple of 15,311 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 15,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,311) = 1

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

GCF(15,311) x common factors =1 x 1 = 1

LCM(15,311) = ( 15 × 311 ) / 1

LCM(15,311) = 4665 / 1

LCM(15,311) = 4665


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 7213/15, 6326/311

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 7213/15, 6326/311?

Answer: GCF of Numerators as per given numbers 7213/15, 6326/311 is

GCF of Numerators i.e. for 7213,6326 is 1

LCM of denominators i.e. for 15,311 is 4665.

Thus, GCF of Fractions is 1/4665.Finally, GCF of Fractions for 7213/15, 6326/311 is 1/4665.