Greatest Common Factor of 4779/723, 5325/7604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4779/723, 5325/7604

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 4779/723,5325/7604

Given fractions are 4779/723,5325/7604

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 4779,5325

Greatest Common Factor of Numerators i.e. GCF of 4779,5325 is 3 .

LCM of Denominators means LCM of 723,7604 as per the given fractions.

LCM of 723,7604 is 5497692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4779,5325

GCF of Fractions 4779/723,5325/7604 is 3/5497692

3 4779, 5325
1593, 1775

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

Greatest Common Factor of 4779,5325 By Matching Biggest Common Factor Method

Greatest Common Factor of 4779,5325 By Matching Biggest Common Factor Method

Factors of 4779

List of positive integer factors of 4779 that divides 4779 without a remainder.

1,3,9,27,59,81,177,531,1593,4779

Factors of 5325

List of positive integer factors of 5325 that divides 5325 without a remainder.

1,3,5,15,25,71,75,213,355,1065,1775,5325

Greatest Common Factor

We found the factors 4779,5325 . The biggest common factor number is the GCF number.
So the greatest common factor 4779,5325 is 3.

Lets's calculate LCM of 723,7604

Given numbers has no common factors except 1. So, there LCM is their product i.e 5497692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5497692

Therefore, the GCF of Fractions 4779/723,5325/7604 is 3/5497692

Least Common Multiple of 723,7604 with GCF Formula

Least Common Multiple of 723,7604 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 723,7604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,7604) = 1

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

GCF(723,7604) x common factors =1 x 1 = 1

LCM(723,7604) = ( 723 × 7604 ) / 1

LCM(723,7604) = 5497692 / 1

LCM(723,7604) = 5497692


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 4779/723, 5325/7604

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 4779/723, 5325/7604?

Answer: GCF of Numerators as per given numbers 4779/723, 5325/7604 is

GCF of Numerators i.e. for 4779,5325 is 3

LCM of denominators i.e. for 723,7604 is 5497692.

Thus, GCF of Fractions is 3/5497692.Finally, GCF of Fractions for 4779/723, 5325/7604 is 3/5497692.