Greatest Common Factor of 2925/561, 6291/8423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2925/561, 6291/8423

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 2925/561,6291/8423

Given fractions are 2925/561,6291/8423

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 2925,6291

Greatest Common Factor of Numerators i.e. GCF of 2925,6291 is 9 .

LCM of Denominators means LCM of 561,8423 as per the given fractions.

LCM of 561,8423 is 4725303 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2925,6291

GCF of Fractions 2925/561,6291/8423 is 9/4725303

3 2925, 6291
3 975, 2097
325, 699

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

Greatest Common Factor of 2925,6291 By Matching Biggest Common Factor Method

Greatest Common Factor of 2925,6291 By Matching Biggest Common Factor Method

Factors of 2925

List of positive integer factors of 2925 that divides 2925 without a remainder.

1,3,5,9,13,15,25,39,45,65,75,117,195,225,325,585,975,2925

Factors of 6291

List of positive integer factors of 6291 that divides 6291 without a remainder.

1,3,9,27,233,699,2097,6291

Greatest Common Factor

We found the factors 2925,6291 . The biggest common factor number is the GCF number.
So the greatest common factor 2925,6291 is 9.

Lets's calculate LCM of 561,8423

Given numbers has no common factors except 1. So, there LCM is their product i.e 4725303

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4725303

Therefore, the GCF of Fractions 2925/561,6291/8423 is 9/4725303

Least Common Multiple of 561,8423 with GCF Formula

Least Common Multiple of 561,8423 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 561,8423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,8423) = 1

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

GCF(561,8423) x common factors =1 x 1 = 1

LCM(561,8423) = ( 561 × 8423 ) / 1

LCM(561,8423) = 4725303 / 1

LCM(561,8423) = 4725303


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 2925/561, 6291/8423

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 2925/561, 6291/8423?

Answer: GCF of Numerators as per given numbers 2925/561, 6291/8423 is

GCF of Numerators i.e. for 2925,6291 is 9

LCM of denominators i.e. for 561,8423 is 4725303.

Thus, GCF of Fractions is 9/4725303.Finally, GCF of Fractions for 2925/561, 6291/8423 is 9/4725303.