Greatest Common Factor of 7506/812, 6498/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7506/812, 6498/597

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 7506/812,6498/597

Given fractions are 7506/812,6498/597

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 7506,6498

Greatest Common Factor of Numerators i.e. GCF of 7506,6498 is 18 .

LCM of Denominators means LCM of 812,597 as per the given fractions.

LCM of 812,597 is 484764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7506,6498

GCF of Fractions 7506/812,6498/597 is 18/484764

2 7506, 6498
3 3753, 3249
3 1251, 1083
417, 361

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 7506,6498 By Matching Biggest Common Factor Method

Greatest Common Factor of 7506,6498 By Matching Biggest Common Factor Method

Factors of 7506

List of positive integer factors of 7506 that divides 7506 without a remainder.

1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506

Factors of 6498

List of positive integer factors of 6498 that divides 6498 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342,361,722,1083,2166,3249,6498

Greatest Common Factor

We found the factors 7506,6498 . The biggest common factor number is the GCF number.
So the greatest common factor 7506,6498 is 18.

Lets's calculate LCM of 812,597

Given numbers has no common factors except 1. So, there LCM is their product i.e 484764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/484764

Therefore, the GCF of Fractions 7506/812,6498/597 is 18/484764

Least Common Multiple of 812,597 with GCF Formula

Least Common Multiple of 812,597 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 812,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,597) = 1

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

GCF(812,597) x common factors =1 x 1 = 1

LCM(812,597) = ( 812 × 597 ) / 1

LCM(812,597) = 484764 / 1

LCM(812,597) = 484764


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 7506/812, 6498/597

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 7506/812, 6498/597?

Answer: GCF of Numerators as per given numbers 7506/812, 6498/597 is

GCF of Numerators i.e. for 7506,6498 is 18

LCM of denominators i.e. for 812,597 is 484764.

Thus, GCF of Fractions is 18/484764.Finally, GCF of Fractions for 7506/812, 6498/597 is 18/484764.