Greatest Common Factor of 240/23, 637/66, 605/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 240/23, 637/66, 605/31

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 240/23,637/66,605/31

Given fractions are 240/23,637/66,605/31

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 240,637,605

Greatest Common Factor of Numerators i.e. GCF of 240,637,605 is 1 .

LCM of Denominators means LCM of 23,66,31 as per the given fractions.

LCM of 23,66,31 is 47058 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 240,637,605

GCF of Fractions 240/23,637/66,605/31 is 1/47058

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

Greatest Common Factor of 240,637,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,637,605 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 605

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

1,5,11,55,121,605

Greatest Common Factor

We found the factors 240,637,605 . The biggest common factor number is the GCF number.
So the greatest common factor 240,637,605 is 1.

Lets's calculate LCM of 23,66,31

Given numbers has no common factors except 1. So, there LCM is their product i.e 47058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47058

Therefore, the GCF of Fractions 240/23,637/66,605/31 is 1/47058

Least Common Multiple of 23,66,31 with GCF Formula

Least Common Multiple of 23,66,31 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 23,66,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,66,31) = 1

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

GCF(23,66,31) x common factors =1 x 1 = 1

LCM(23,66,31) = ( 23 × 66 × 31 ) / 1

LCM(23,66,31) = 47058 / 1

LCM(23,66,31) = 47058


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 240/23, 637/66, 605/31

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 240/23, 637/66, 605/31?

Answer: GCF of Numerators as per given numbers 240/23, 637/66, 605/31 is

GCF of Numerators i.e. for 240,637,605 is 1

LCM of denominators i.e. for 23,66,31 is 47058.

Thus, GCF of Fractions is 1/47058.Finally, GCF of Fractions for 240/23, 637/66, 605/31 is 1/47058.