Greatest Common Factor of 6525/798, 1548/9798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6525/798, 1548/9798

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 6525/798,1548/9798

Given fractions are 6525/798,1548/9798

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 6525,1548

Greatest Common Factor of Numerators i.e. GCF of 6525,1548 is 9 .

LCM of Denominators means LCM of 798,9798 as per the given fractions.

LCM of 798,9798 is 1303134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6525,1548

GCF of Fractions 6525/798,1548/9798 is 9/1303134

3 6525, 1548
3 2175, 516
725, 172

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 6525,1548 By Matching Biggest Common Factor Method

Greatest Common Factor of 6525,1548 By Matching Biggest Common Factor Method

Factors of 6525

List of positive integer factors of 6525 that divides 6525 without a remainder.

1,3,5,9,15,25,29,45,75,87,145,225,261,435,725,1305,2175,6525

Factors of 1548

List of positive integer factors of 1548 that divides 1548 without a remainder.

1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548

Greatest Common Factor

We found the factors 6525,1548 . The biggest common factor number is the GCF number.
So the greatest common factor 6525,1548 is 9.

Lets's calculate LCM of 798,9798

2 798, 9798
3 399, 4899
133, 1633

∴ So the LCM of the given numbers is 2 x 3 x 133 x 1633 = 1303134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1303134

Therefore, the GCF of Fractions 6525/798,1548/9798 is 9/1303134

Least Common Multiple of 798,9798 with GCF Formula

Least Common Multiple of 798,9798 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 798,9798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,9798) = 6

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

GCF(798,9798) x common factors =6 x 1 = 6

LCM(798,9798) = ( 798 × 9798 ) / 6

LCM(798,9798) = 7818804 / 6

LCM(798,9798) = 1303134


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 6525/798, 1548/9798

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 6525/798, 1548/9798?

Answer: GCF of Numerators as per given numbers 6525/798, 1548/9798 is

GCF of Numerators i.e. for 6525,1548 is 9

LCM of denominators i.e. for 798,9798 is 1303134.

Thus, GCF of Fractions is 9/1303134.Finally, GCF of Fractions for 6525/798, 1548/9798 is 9/1303134.