Greatest Common Factor of 4779/861, 7325/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4779/861, 7325/499

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 4779/861,7325/499

Given fractions are 4779/861,7325/499

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 4779,7325

Greatest Common Factor of Numerators i.e. GCF of 4779,7325 is 1 .

LCM of Denominators means LCM of 861,499 as per the given fractions.

LCM of 861,499 is 429639 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4779,7325

GCF of Fractions 4779/861,7325/499 is 1/429639

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4779,7325 By Matching Biggest Common Factor Method

Greatest Common Factor of 4779,7325 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 7325

List of positive integer factors of 7325 that divides 7325 without a remainder.

1,5,25,293,1465,7325

Greatest Common Factor

We found the factors 4779,7325 . The biggest common factor number is the GCF number.
So the greatest common factor 4779,7325 is 1.

Lets's calculate LCM of 861,499

Given numbers has no common factors except 1. So, there LCM is their product i.e 429639

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429639

Therefore, the GCF of Fractions 4779/861,7325/499 is 1/429639

Least Common Multiple of 861,499 with GCF Formula

Least Common Multiple of 861,499 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 861,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,499) = 1

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

GCF(861,499) x common factors =1 x 1 = 1

LCM(861,499) = ( 861 × 499 ) / 1

LCM(861,499) = 429639 / 1

LCM(861,499) = 429639


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 4779/861, 7325/499

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 4779/861, 7325/499?

Answer: GCF of Numerators as per given numbers 4779/861, 7325/499 is

GCF of Numerators i.e. for 4779,7325 is 1

LCM of denominators i.e. for 861,499 is 429639.

Thus, GCF of Fractions is 1/429639.Finally, GCF of Fractions for 4779/861, 7325/499 is 1/429639.