Greatest Common Factor of 21/65, 605/31, 299/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/65, 605/31, 299/759

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 21/65,605/31,299/759

Given fractions are 21/65,605/31,299/759

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 21,605,299

Greatest Common Factor of Numerators i.e. GCF of 21,605,299 is 1 .

LCM of Denominators means LCM of 65,31,759 as per the given fractions.

LCM of 65,31,759 is 1529385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,605,299

GCF of Fractions 21/65,605/31,299/759 is 1/1529385

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

Greatest Common Factor of 21,605,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,605,299 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 21,605,299 . The biggest common factor number is the GCF number.
So the greatest common factor 21,605,299 is 1.

Lets's calculate LCM of 65,31,759

Given numbers has no common factors except 1. So, there LCM is their product i.e 1529385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1529385

Therefore, the GCF of Fractions 21/65,605/31,299/759 is 1/1529385

Least Common Multiple of 65,31,759 with GCF Formula

Least Common Multiple of 65,31,759 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 65,31,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,31,759) = 1

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

GCF(65,31,759) x common factors =1 x 1 = 1

LCM(65,31,759) = ( 65 × 31 × 759 ) / 1

LCM(65,31,759) = 1529385 / 1

LCM(65,31,759) = 1529385


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 21/65, 605/31, 299/759

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 21/65, 605/31, 299/759?

Answer: GCF of Numerators as per given numbers 21/65, 605/31, 299/759 is

GCF of Numerators i.e. for 21,605,299 is 1

LCM of denominators i.e. for 65,31,759 is 1529385.

Thus, GCF of Fractions is 1/1529385.Finally, GCF of Fractions for 21/65, 605/31, 299/759 is 1/1529385.