Greatest Common Factor of 7364/83, 9499/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7364/83, 9499/732

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 7364/83,9499/732

Given fractions are 7364/83,9499/732

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 7364,9499

Greatest Common Factor of Numerators i.e. GCF of 7364,9499 is 7 .

LCM of Denominators means LCM of 83,732 as per the given fractions.

LCM of 83,732 is 60756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7364,9499

GCF of Fractions 7364/83,9499/732 is 7/60756

7 7364, 9499
1052, 1357

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7364,9499 By Matching Biggest Common Factor Method

Greatest Common Factor of 7364,9499 By Matching Biggest Common Factor Method

Factors of 7364

List of positive integer factors of 7364 that divides 7364 without a remainder.

1,2,4,7,14,28,263,526,1052,1841,3682,7364

Factors of 9499

List of positive integer factors of 9499 that divides 9499 without a remainder.

1,7,23,59,161,413,1357,9499

Greatest Common Factor

We found the factors 7364,9499 . The biggest common factor number is the GCF number.
So the greatest common factor 7364,9499 is 7.

Lets's calculate LCM of 83,732

Given numbers has no common factors except 1. So, there LCM is their product i.e 60756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/60756

Therefore, the GCF of Fractions 7364/83,9499/732 is 7/60756

Least Common Multiple of 83,732 with GCF Formula

Least Common Multiple of 83,732 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 83,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,732) = 1

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

GCF(83,732) x common factors =1 x 1 = 1

LCM(83,732) = ( 83 × 732 ) / 1

LCM(83,732) = 60756 / 1

LCM(83,732) = 60756


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 7364/83, 9499/732

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 7364/83, 9499/732?

Answer: GCF of Numerators as per given numbers 7364/83, 9499/732 is

GCF of Numerators i.e. for 7364,9499 is 7

LCM of denominators i.e. for 83,732 is 60756.

Thus, GCF of Fractions is 7/60756.Finally, GCF of Fractions for 7364/83, 9499/732 is 7/60756.