Greatest Common Factor of 9384/956, 3535/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9384/956, 3535/442

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 9384/956,3535/442

Given fractions are 9384/956,3535/442

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 9384,3535

Greatest Common Factor of Numerators i.e. GCF of 9384,3535 is 1 .

LCM of Denominators means LCM of 956,442 as per the given fractions.

LCM of 956,442 is 211276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9384,3535

GCF of Fractions 9384/956,3535/442 is 1/211276

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

Greatest Common Factor of 9384,3535 By Matching Biggest Common Factor Method

Greatest Common Factor of 9384,3535 By Matching Biggest Common Factor Method

Factors of 9384

List of positive integer factors of 9384 that divides 9384 without a remainder.

1,2,3,4,6,8,12,17,23,24,34,46,51,68,69,92,102,136,138,184,204,276,391,408,552,782,1173,1564,2346,3128,4692,9384

Factors of 3535

List of positive integer factors of 3535 that divides 3535 without a remainder.

1,5,7,35,101,505,707,3535

Greatest Common Factor

We found the factors 9384,3535 . The biggest common factor number is the GCF number.
So the greatest common factor 9384,3535 is 1.

Lets's calculate LCM of 956,442

2 956, 442
478, 221

∴ So the LCM of the given numbers is 2 x 478 x 221 = 211276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211276

Therefore, the GCF of Fractions 9384/956,3535/442 is 1/211276

Least Common Multiple of 956,442 with GCF Formula

Least Common Multiple of 956,442 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 956,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,442) = 2

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

GCF(956,442) x common factors =2 x 1 = 2

LCM(956,442) = ( 956 × 442 ) / 2

LCM(956,442) = 422552 / 2

LCM(956,442) = 211276


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 9384/956, 3535/442

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 9384/956, 3535/442?

Answer: GCF of Numerators as per given numbers 9384/956, 3535/442 is

GCF of Numerators i.e. for 9384,3535 is 1

LCM of denominators i.e. for 956,442 is 211276.

Thus, GCF of Fractions is 1/211276.Finally, GCF of Fractions for 9384/956, 3535/442 is 1/211276.