Greatest Common Factor of 957/34, 405/26, 655/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 957/34, 405/26, 655/794

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 957/34,405/26,655/794

Given fractions are 957/34,405/26,655/794

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 957,405,655

Greatest Common Factor of Numerators i.e. GCF of 957,405,655 is 1 .

LCM of Denominators means LCM of 34,26,794 as per the given fractions.

LCM of 34,26,794 is 175474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 957,405,655

GCF of Fractions 957/34,405/26,655/794 is 1/175474

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

Greatest Common Factor of 957,405,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,405,655 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 957,405,655 . The biggest common factor number is the GCF number.
So the greatest common factor 957,405,655 is 1.

Lets's calculate LCM of 34,26,794

2 34, 26, 794
17, 13, 397

∴ So the LCM of the given numbers is 2 x 17 x 13 x 397 = 175474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175474

Therefore, the GCF of Fractions 957/34,405/26,655/794 is 1/175474

Least Common Multiple of 34,26,794 with GCF Formula

Least Common Multiple of 34,26,794 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 34,26,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,26,794) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(34,26,794) x common factors =2 x 2 = 4

LCM(34,26,794) = ( 34 × 26 × 794 ) / 4

LCM(34,26,794) = 701896 / 4

LCM(34,26,794) = 175474


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 957/34, 405/26, 655/794

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 957/34, 405/26, 655/794?

Answer: GCF of Numerators as per given numbers 957/34, 405/26, 655/794 is

GCF of Numerators i.e. for 957,405,655 is 1

LCM of denominators i.e. for 34,26,794 is 175474.

Thus, GCF of Fractions is 1/175474.Finally, GCF of Fractions for 957/34, 405/26, 655/794 is 1/175474.