Greatest Common Factor of 7664/75, 8399/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7664/75, 8399/413

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 7664/75,8399/413

Given fractions are 7664/75,8399/413

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 7664,8399

Greatest Common Factor of Numerators i.e. GCF of 7664,8399 is 1 .

LCM of Denominators means LCM of 75,413 as per the given fractions.

LCM of 75,413 is 30975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7664,8399

GCF of Fractions 7664/75,8399/413 is 1/30975

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

Greatest Common Factor of 7664,8399 By Matching Biggest Common Factor Method

Greatest Common Factor of 7664,8399 By Matching Biggest Common Factor Method

Factors of 7664

List of positive integer factors of 7664 that divides 7664 without a remainder.

1,2,4,8,16,479,958,1916,3832,7664

Factors of 8399

List of positive integer factors of 8399 that divides 8399 without a remainder.

1,37,227,8399

Greatest Common Factor

We found the factors 7664,8399 . The biggest common factor number is the GCF number.
So the greatest common factor 7664,8399 is 1.

Lets's calculate LCM of 75,413

Given numbers has no common factors except 1. So, there LCM is their product i.e 30975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30975

Therefore, the GCF of Fractions 7664/75,8399/413 is 1/30975

Least Common Multiple of 75,413 with GCF Formula

Least Common Multiple of 75,413 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 75,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,413) = 1

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

GCF(75,413) x common factors =1 x 1 = 1

LCM(75,413) = ( 75 × 413 ) / 1

LCM(75,413) = 30975 / 1

LCM(75,413) = 30975


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 7664/75, 8399/413

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 7664/75, 8399/413?

Answer: GCF of Numerators as per given numbers 7664/75, 8399/413 is

GCF of Numerators i.e. for 7664,8399 is 1

LCM of denominators i.e. for 75,413 is 30975.

Thus, GCF of Fractions is 1/30975.Finally, GCF of Fractions for 7664/75, 8399/413 is 1/30975.