Greatest Common Factor of 7353/387, 5324/6458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7353/387, 5324/6458

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 7353/387,5324/6458

Given fractions are 7353/387,5324/6458

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 7353,5324

Greatest Common Factor of Numerators i.e. GCF of 7353,5324 is 1 .

LCM of Denominators means LCM of 387,6458 as per the given fractions.

LCM of 387,6458 is 2499246 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7353,5324

GCF of Fractions 7353/387,5324/6458 is 1/2499246

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

Greatest Common Factor of 7353,5324 By Matching Biggest Common Factor Method

Greatest Common Factor of 7353,5324 By Matching Biggest Common Factor Method

Factors of 7353

List of positive integer factors of 7353 that divides 7353 without a remainder.

1,3,9,19,43,57,129,171,387,817,2451,7353

Factors of 5324

List of positive integer factors of 5324 that divides 5324 without a remainder.

1,2,4,11,22,44,121,242,484,1331,2662,5324

Greatest Common Factor

We found the factors 7353,5324 . The biggest common factor number is the GCF number.
So the greatest common factor 7353,5324 is 1.

Lets's calculate LCM of 387,6458

Given numbers has no common factors except 1. So, there LCM is their product i.e 2499246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2499246

Therefore, the GCF of Fractions 7353/387,5324/6458 is 1/2499246

Least Common Multiple of 387,6458 with GCF Formula

Least Common Multiple of 387,6458 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 387,6458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,6458) = 1

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

GCF(387,6458) x common factors =1 x 1 = 1

LCM(387,6458) = ( 387 × 6458 ) / 1

LCM(387,6458) = 2499246 / 1

LCM(387,6458) = 2499246


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 7353/387, 5324/6458

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 7353/387, 5324/6458?

Answer: GCF of Numerators as per given numbers 7353/387, 5324/6458 is

GCF of Numerators i.e. for 7353,5324 is 1

LCM of denominators i.e. for 387,6458 is 2499246.

Thus, GCF of Fractions is 1/2499246.Finally, GCF of Fractions for 7353/387, 5324/6458 is 1/2499246.