Greatest Common Factor of 958/9317, 406/8411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 958/9317, 406/8411

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 958/9317,406/8411

Given fractions are 958/9317,406/8411

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 958,406

Greatest Common Factor of Numerators i.e. GCF of 958,406 is 2 .

LCM of Denominators means LCM of 9317,8411 as per the given fractions.

LCM of 9317,8411 is 78365287 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 958,406

GCF of Fractions 958/9317,406/8411 is 2/78365287

2 958, 406
479, 203

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 958,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,406 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 958,406 . The biggest common factor number is the GCF number.
So the greatest common factor 958,406 is 2.

Lets's calculate LCM of 9317,8411

Given numbers has no common factors except 1. So, there LCM is their product i.e 78365287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/78365287

Therefore, the GCF of Fractions 958/9317,406/8411 is 2/78365287

Least Common Multiple of 9317,8411 with GCF Formula

Least Common Multiple of 9317,8411 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 9317,8411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9317,8411) = 1

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

GCF(9317,8411) x common factors =1 x 1 = 1

LCM(9317,8411) = ( 9317 × 8411 ) / 1

LCM(9317,8411) = 78365287 / 1

LCM(9317,8411) = 78365287


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 958/9317, 406/8411

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 958/9317, 406/8411?

Answer: GCF of Numerators as per given numbers 958/9317, 406/8411 is

GCF of Numerators i.e. for 958,406 is 2

LCM of denominators i.e. for 9317,8411 is 78365287.

Thus, GCF of Fractions is 2/78365287.Finally, GCF of Fractions for 958/9317, 406/8411 is 2/78365287.