Greatest Common Factor of 3517/956, 9378/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3517/956, 9378/429

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 3517/956,9378/429

Given fractions are 3517/956,9378/429

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 3517,9378

Greatest Common Factor of Numerators i.e. GCF of 3517,9378 is 1 .

LCM of Denominators means LCM of 956,429 as per the given fractions.

LCM of 956,429 is 410124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3517,9378

GCF of Fractions 3517/956,9378/429 is 1/410124

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

Greatest Common Factor of 3517,9378 By Matching Biggest Common Factor Method

Greatest Common Factor of 3517,9378 By Matching Biggest Common Factor Method

Factors of 3517

List of positive integer factors of 3517 that divides 3517 without a remainder.

1,3517

Factors of 9378

List of positive integer factors of 9378 that divides 9378 without a remainder.

1,2,3,6,9,18,521,1042,1563,3126,4689,9378

Greatest Common Factor

We found the factors 3517,9378 . The biggest common factor number is the GCF number.
So the greatest common factor 3517,9378 is 1.

Lets's calculate LCM of 956,429

Given numbers has no common factors except 1. So, there LCM is their product i.e 410124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410124

Therefore, the GCF of Fractions 3517/956,9378/429 is 1/410124

Least Common Multiple of 956,429 with GCF Formula

Least Common Multiple of 956,429 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 956,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,429) = 1

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

GCF(956,429) x common factors =1 x 1 = 1

LCM(956,429) = ( 956 × 429 ) / 1

LCM(956,429) = 410124 / 1

LCM(956,429) = 410124


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 3517/956, 9378/429

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 3517/956, 9378/429?

Answer: GCF of Numerators as per given numbers 3517/956, 9378/429 is

GCF of Numerators i.e. for 3517,9378 is 1

LCM of denominators i.e. for 956,429 is 410124.

Thus, GCF of Fractions is 1/410124.Finally, GCF of Fractions for 3517/956, 9378/429 is 1/410124.