Greatest Common Factor of 23/640, 86/272, 273/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 23/640, 86/272, 273/969

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 23/640,86/272,273/969

Given fractions are 23/640,86/272,273/969

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 23,86,273

Greatest Common Factor of Numerators i.e. GCF of 23,86,273 is 1 .

LCM of Denominators means LCM of 640,272,969 as per the given fractions.

LCM of 640,272,969 is 620160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 23,86,273

GCF of Fractions 23/640,86/272,273/969 is 1/620160

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

Greatest Common Factor of 23,86,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,86,273 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 23,86,273 . The biggest common factor number is the GCF number.
So the greatest common factor 23,86,273 is 1.

Lets's calculate LCM of 640,272,969

2 640, 272, 969
2 320, 136, 969
2 160, 68, 969
2 80, 34, 969
17 40, 17, 969
40, 1, 57

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 40 x 1 x 57 = 620160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/620160

Therefore, the GCF of Fractions 23/640,86/272,273/969 is 1/620160

Least Common Multiple of 640,272,969 with GCF Formula

Least Common Multiple of 640,272,969 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 640,272,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,272,969) = 1

common factors(in case of two or more numbers have common factors) = 272

GCF(640,272,969) x common factors =1 x 272 = 272

LCM(640,272,969) = ( 640 × 272 × 969 ) / 272

LCM(640,272,969) = 168683520 / 272

LCM(640,272,969) = 620160


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 23/640, 86/272, 273/969

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 23/640, 86/272, 273/969?

Answer: GCF of Numerators as per given numbers 23/640, 86/272, 273/969 is

GCF of Numerators i.e. for 23,86,273 is 1

LCM of denominators i.e. for 640,272,969 is 620160.

Thus, GCF of Fractions is 1/620160.Finally, GCF of Fractions for 23/640, 86/272, 273/969 is 1/620160.