Greatest Common Factor of 7647/33, 3582/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7647/33, 3582/764

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 7647/33,3582/764

Given fractions are 7647/33,3582/764

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 7647,3582

Greatest Common Factor of Numerators i.e. GCF of 7647,3582 is 3 .

LCM of Denominators means LCM of 33,764 as per the given fractions.

LCM of 33,764 is 25212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7647,3582

GCF of Fractions 7647/33,3582/764 is 3/25212

3 7647, 3582
2549, 1194

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

Greatest Common Factor of 7647,3582 By Matching Biggest Common Factor Method

Greatest Common Factor of 7647,3582 By Matching Biggest Common Factor Method

Factors of 7647

List of positive integer factors of 7647 that divides 7647 without a remainder.

1,3,2549,7647

Factors of 3582

List of positive integer factors of 3582 that divides 3582 without a remainder.

1,2,3,6,9,18,199,398,597,1194,1791,3582

Greatest Common Factor

We found the factors 7647,3582 . The biggest common factor number is the GCF number.
So the greatest common factor 7647,3582 is 3.

Lets's calculate LCM of 33,764

Given numbers has no common factors except 1. So, there LCM is their product i.e 25212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25212

Therefore, the GCF of Fractions 7647/33,3582/764 is 3/25212

Least Common Multiple of 33,764 with GCF Formula

Least Common Multiple of 33,764 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 33,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,764) = 1

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

GCF(33,764) x common factors =1 x 1 = 1

LCM(33,764) = ( 33 × 764 ) / 1

LCM(33,764) = 25212 / 1

LCM(33,764) = 25212


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 7647/33, 3582/764

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 7647/33, 3582/764?

Answer: GCF of Numerators as per given numbers 7647/33, 3582/764 is

GCF of Numerators i.e. for 7647,3582 is 3

LCM of denominators i.e. for 33,764 is 25212.

Thus, GCF of Fractions is 3/25212.Finally, GCF of Fractions for 7647/33, 3582/764 is 3/25212.