Greatest Common Factor of 7095/213, 5305/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7095/213, 5305/316

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 7095/213,5305/316

Given fractions are 7095/213,5305/316

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 7095,5305

Greatest Common Factor of Numerators i.e. GCF of 7095,5305 is 5 .

LCM of Denominators means LCM of 213,316 as per the given fractions.

LCM of 213,316 is 67308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7095,5305

GCF of Fractions 7095/213,5305/316 is 5/67308

5 7095, 5305
1419, 1061

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7095,5305 By Matching Biggest Common Factor Method

Greatest Common Factor of 7095,5305 By Matching Biggest Common Factor Method

Factors of 7095

List of positive integer factors of 7095 that divides 7095 without a remainder.

1,3,5,11,15,33,43,55,129,165,215,473,645,1419,2365,7095

Factors of 5305

List of positive integer factors of 5305 that divides 5305 without a remainder.

1,5,1061,5305

Greatest Common Factor

We found the factors 7095,5305 . The biggest common factor number is the GCF number.
So the greatest common factor 7095,5305 is 5.

Lets's calculate LCM of 213,316

Given numbers has no common factors except 1. So, there LCM is their product i.e 67308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/67308

Therefore, the GCF of Fractions 7095/213,5305/316 is 5/67308

Least Common Multiple of 213,316 with GCF Formula

Least Common Multiple of 213,316 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 213,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,316) = 1

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

GCF(213,316) x common factors =1 x 1 = 1

LCM(213,316) = ( 213 × 316 ) / 1

LCM(213,316) = 67308 / 1

LCM(213,316) = 67308


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 7095/213, 5305/316

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 7095/213, 5305/316?

Answer: GCF of Numerators as per given numbers 7095/213, 5305/316 is

GCF of Numerators i.e. for 7095,5305 is 5

LCM of denominators i.e. for 213,316 is 67308.

Thus, GCF of Fractions is 5/67308.Finally, GCF of Fractions for 7095/213, 5305/316 is 5/67308.