Greatest Common Factor of 825/84, 3609/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 825/84, 3609/512

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 825/84,3609/512

Given fractions are 825/84,3609/512

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 825,3609

Greatest Common Factor of Numerators i.e. GCF of 825,3609 is 3 .

LCM of Denominators means LCM of 84,512 as per the given fractions.

LCM of 84,512 is 10752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 825,3609

GCF of Fractions 825/84,3609/512 is 3/10752

3 825, 3609
275, 1203

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

Greatest Common Factor of 825,3609 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,3609 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1,3,9,401,1203,3609

Greatest Common Factor

We found the factors 825,3609 . The biggest common factor number is the GCF number.
So the greatest common factor 825,3609 is 3.

Lets's calculate LCM of 84,512

2 84, 512
2 42, 256
21, 128

∴ So the LCM of the given numbers is 2 x 2 x 21 x 128 = 10752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10752

Therefore, the GCF of Fractions 825/84,3609/512 is 3/10752

Least Common Multiple of 84,512 with GCF Formula

Least Common Multiple of 84,512 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 84,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,512) = 4

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

GCF(84,512) x common factors =4 x 1 = 4

LCM(84,512) = ( 84 × 512 ) / 4

LCM(84,512) = 43008 / 4

LCM(84,512) = 10752


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 825/84, 3609/512

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 825/84, 3609/512?

Answer: GCF of Numerators as per given numbers 825/84, 3609/512 is

GCF of Numerators i.e. for 825,3609 is 3

LCM of denominators i.e. for 84,512 is 10752.

Thus, GCF of Fractions is 3/10752.Finally, GCF of Fractions for 825/84, 3609/512 is 3/10752.