Greatest Common Factor of 40/24, 857/18, 697/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/24, 857/18, 697/913

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 40/24,857/18,697/913

Given fractions are 40/24,857/18,697/913

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 40,857,697

Greatest Common Factor of Numerators i.e. GCF of 40,857,697 is 1 .

LCM of Denominators means LCM of 24,18,913 as per the given fractions.

LCM of 24,18,913 is 65736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,857,697

GCF of Fractions 40/24,857/18,697/913 is 1/65736

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

Greatest Common Factor of 40,857,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,857,697 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 40,857,697 . The biggest common factor number is the GCF number.
So the greatest common factor 40,857,697 is 1.

Lets's calculate LCM of 24,18,913

2 24, 18, 913
3 12, 9, 913
4, 3, 913

∴ So the LCM of the given numbers is 2 x 3 x 4 x 3 x 913 = 65736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65736

Therefore, the GCF of Fractions 40/24,857/18,697/913 is 1/65736

Least Common Multiple of 24,18,913 with GCF Formula

Least Common Multiple of 24,18,913 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 24,18,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,18,913) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(24,18,913) x common factors =1 x 6 = 6

LCM(24,18,913) = ( 24 × 18 × 913 ) / 6

LCM(24,18,913) = 394416 / 6

LCM(24,18,913) = 65736


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 40/24, 857/18, 697/913

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 40/24, 857/18, 697/913?

Answer: GCF of Numerators as per given numbers 40/24, 857/18, 697/913 is

GCF of Numerators i.e. for 40,857,697 is 1

LCM of denominators i.e. for 24,18,913 is 65736.

Thus, GCF of Fractions is 1/65736.Finally, GCF of Fractions for 40/24, 857/18, 697/913 is 1/65736.