Greatest Common Factor of 722/65, 195/3015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 722/65, 195/3015

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 722/65,195/3015

Given fractions are 722/65,195/3015

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 722,195

Greatest Common Factor of Numerators i.e. GCF of 722,195 is 1 .

LCM of Denominators means LCM of 65,3015 as per the given fractions.

LCM of 65,3015 is 39195 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 722,195

GCF of Fractions 722/65,195/3015 is 1/39195

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

Greatest Common Factor of 722,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,195 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 722,195 . The biggest common factor number is the GCF number.
So the greatest common factor 722,195 is 1.

Lets's calculate LCM of 65,3015

5 65, 3015
13, 603

∴ So the LCM of the given numbers is 5 x 13 x 603 = 39195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39195

Therefore, the GCF of Fractions 722/65,195/3015 is 1/39195

Least Common Multiple of 65,3015 with GCF Formula

Least Common Multiple of 65,3015 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 65,3015 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,3015) = 5

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

GCF(65,3015) x common factors =5 x 1 = 5

LCM(65,3015) = ( 65 × 3015 ) / 5

LCM(65,3015) = 195975 / 5

LCM(65,3015) = 39195


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 722/65, 195/3015

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 722/65, 195/3015?

Answer: GCF of Numerators as per given numbers 722/65, 195/3015 is

GCF of Numerators i.e. for 722,195 is 1

LCM of denominators i.e. for 65,3015 is 39195.

Thus, GCF of Fractions is 1/39195.Finally, GCF of Fractions for 722/65, 195/3015 is 1/39195.