Greatest Common Factor of 407/731, 9376/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/731, 9376/961

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 407/731,9376/961

Given fractions are 407/731,9376/961

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 407,9376

Greatest Common Factor of Numerators i.e. GCF of 407,9376 is 1 .

LCM of Denominators means LCM of 731,961 as per the given fractions.

LCM of 731,961 is 702491 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,9376

GCF of Fractions 407/731,9376/961 is 1/702491

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

Greatest Common Factor of 407,9376 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,9376 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 9376

List of positive integer factors of 9376 that divides 9376 without a remainder.

1,2,4,8,16,32,293,586,1172,2344,4688,9376

Greatest Common Factor

We found the factors 407,9376 . The biggest common factor number is the GCF number.
So the greatest common factor 407,9376 is 1.

Lets's calculate LCM of 731,961

Given numbers has no common factors except 1. So, there LCM is their product i.e 702491

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/702491

Therefore, the GCF of Fractions 407/731,9376/961 is 1/702491

Least Common Multiple of 731,961 with GCF Formula

Least Common Multiple of 731,961 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 731,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,961) = 1

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

GCF(731,961) x common factors =1 x 1 = 1

LCM(731,961) = ( 731 × 961 ) / 1

LCM(731,961) = 702491 / 1

LCM(731,961) = 702491


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 407/731, 9376/961

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 407/731, 9376/961?

Answer: GCF of Numerators as per given numbers 407/731, 9376/961 is

GCF of Numerators i.e. for 407,9376 is 1

LCM of denominators i.e. for 731,961 is 702491.

Thus, GCF of Fractions is 1/702491.Finally, GCF of Fractions for 407/731, 9376/961 is 1/702491.