Greatest Common Factor of 913/19, 644/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 913/19, 644/717

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 913/19,644/717

Given fractions are 913/19,644/717

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 913,644

Greatest Common Factor of Numerators i.e. GCF of 913,644 is 1 .

LCM of Denominators means LCM of 19,717 as per the given fractions.

LCM of 19,717 is 13623 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 913,644

GCF of Fractions 913/19,644/717 is 1/13623

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

Greatest Common Factor of 913,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,644 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 913,644 . The biggest common factor number is the GCF number.
So the greatest common factor 913,644 is 1.

Lets's calculate LCM of 19,717

Given numbers has no common factors except 1. So, there LCM is their product i.e 13623

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13623

Therefore, the GCF of Fractions 913/19,644/717 is 1/13623

Least Common Multiple of 19,717 with GCF Formula

Least Common Multiple of 19,717 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 19,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,717) = 1

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

GCF(19,717) x common factors =1 x 1 = 1

LCM(19,717) = ( 19 × 717 ) / 1

LCM(19,717) = 13623 / 1

LCM(19,717) = 13623


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 913/19, 644/717

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 913/19, 644/717?

Answer: GCF of Numerators as per given numbers 913/19, 644/717 is

GCF of Numerators i.e. for 913,644 is 1

LCM of denominators i.e. for 19,717 is 13623.

Thus, GCF of Fractions is 1/13623.Finally, GCF of Fractions for 913/19, 644/717 is 1/13623.