Greatest Common Factor of 715/65, 3695/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 715/65, 3695/953

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 715/65,3695/953

Given fractions are 715/65,3695/953

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 715,3695

Greatest Common Factor of Numerators i.e. GCF of 715,3695 is 5 .

LCM of Denominators means LCM of 65,953 as per the given fractions.

LCM of 65,953 is 61945 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 715,3695

GCF of Fractions 715/65,3695/953 is 5/61945

5 715, 3695
143, 739

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

Greatest Common Factor of 715,3695 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,3695 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 3695

List of positive integer factors of 3695 that divides 3695 without a remainder.

1,5,739,3695

Greatest Common Factor

We found the factors 715,3695 . The biggest common factor number is the GCF number.
So the greatest common factor 715,3695 is 5.

Lets's calculate LCM of 65,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 61945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/61945

Therefore, the GCF of Fractions 715/65,3695/953 is 5/61945

Least Common Multiple of 65,953 with GCF Formula

Least Common Multiple of 65,953 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 65,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,953) = 1

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

GCF(65,953) x common factors =1 x 1 = 1

LCM(65,953) = ( 65 × 953 ) / 1

LCM(65,953) = 61945 / 1

LCM(65,953) = 61945


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 715/65, 3695/953

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 715/65, 3695/953?

Answer: GCF of Numerators as per given numbers 715/65, 3695/953 is

GCF of Numerators i.e. for 715,3695 is 5

LCM of denominators i.e. for 65,953 is 61945.

Thus, GCF of Fractions is 5/61945.Finally, GCF of Fractions for 715/65, 3695/953 is 5/61945.