Greatest Common Factor of 4725/790, 8641/6373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4725/790, 8641/6373

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 4725/790,8641/6373

Given fractions are 4725/790,8641/6373

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 4725,8641

Greatest Common Factor of Numerators i.e. GCF of 4725,8641 is 1 .

LCM of Denominators means LCM of 790,6373 as per the given fractions.

LCM of 790,6373 is 5034670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4725,8641

GCF of Fractions 4725/790,8641/6373 is 1/5034670

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

Greatest Common Factor of 4725,8641 By Matching Biggest Common Factor Method

Greatest Common Factor of 4725,8641 By Matching Biggest Common Factor Method

Factors of 4725

List of positive integer factors of 4725 that divides 4725 without a remainder.

1,3,5,7,9,15,21,25,27,35,45,63,75,105,135,175,189,225,315,525,675,945,1575,4725

Factors of 8641

List of positive integer factors of 8641 that divides 8641 without a remainder.

1,8641

Greatest Common Factor

We found the factors 4725,8641 . The biggest common factor number is the GCF number.
So the greatest common factor 4725,8641 is 1.

Lets's calculate LCM of 790,6373

Given numbers has no common factors except 1. So, there LCM is their product i.e 5034670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5034670

Therefore, the GCF of Fractions 4725/790,8641/6373 is 1/5034670

Least Common Multiple of 790,6373 with GCF Formula

Least Common Multiple of 790,6373 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 790,6373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,6373) = 1

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

GCF(790,6373) x common factors =1 x 1 = 1

LCM(790,6373) = ( 790 × 6373 ) / 1

LCM(790,6373) = 5034670 / 1

LCM(790,6373) = 5034670


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 4725/790, 8641/6373

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 4725/790, 8641/6373?

Answer: GCF of Numerators as per given numbers 4725/790, 8641/6373 is

GCF of Numerators i.e. for 4725,8641 is 1

LCM of denominators i.e. for 790,6373 is 5034670.

Thus, GCF of Fractions is 1/5034670.Finally, GCF of Fractions for 4725/790, 8641/6373 is 1/5034670.