Greatest Common Factor of 6493/504, 6365/9724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6493/504, 6365/9724

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 6493/504,6365/9724

Given fractions are 6493/504,6365/9724

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 6493,6365

Greatest Common Factor of Numerators i.e. GCF of 6493,6365 is 1 .

LCM of Denominators means LCM of 504,9724 as per the given fractions.

LCM of 504,9724 is 1225224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6493,6365

GCF of Fractions 6493/504,6365/9724 is 1/1225224

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

Greatest Common Factor of 6493,6365 By Matching Biggest Common Factor Method

Greatest Common Factor of 6493,6365 By Matching Biggest Common Factor Method

Factors of 6493

List of positive integer factors of 6493 that divides 6493 without a remainder.

1,43,151,6493

Factors of 6365

List of positive integer factors of 6365 that divides 6365 without a remainder.

1,5,19,67,95,335,1273,6365

Greatest Common Factor

We found the factors 6493,6365 . The biggest common factor number is the GCF number.
So the greatest common factor 6493,6365 is 1.

Lets's calculate LCM of 504,9724

2 504, 9724
2 252, 4862
126, 2431

∴ So the LCM of the given numbers is 2 x 2 x 126 x 2431 = 1225224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1225224

Therefore, the GCF of Fractions 6493/504,6365/9724 is 1/1225224

Least Common Multiple of 504,9724 with GCF Formula

Least Common Multiple of 504,9724 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 504,9724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,9724) = 4

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

GCF(504,9724) x common factors =4 x 1 = 4

LCM(504,9724) = ( 504 × 9724 ) / 4

LCM(504,9724) = 4900896 / 4

LCM(504,9724) = 1225224


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 6493/504, 6365/9724

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 6493/504, 6365/9724?

Answer: GCF of Numerators as per given numbers 6493/504, 6365/9724 is

GCF of Numerators i.e. for 6493,6365 is 1

LCM of denominators i.e. for 504,9724 is 1225224.

Thus, GCF of Fractions is 1/1225224.Finally, GCF of Fractions for 6493/504, 6365/9724 is 1/1225224.