Greatest Common Factor of 3379/592, 4487/7641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3379/592, 4487/7641

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 3379/592,4487/7641

Given fractions are 3379/592,4487/7641

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 3379,4487

Greatest Common Factor of Numerators i.e. GCF of 3379,4487 is 1 .

LCM of Denominators means LCM of 592,7641 as per the given fractions.

LCM of 592,7641 is 4523472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3379,4487

GCF of Fractions 3379/592,4487/7641 is 1/4523472

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

Greatest Common Factor of 3379,4487 By Matching Biggest Common Factor Method

Greatest Common Factor of 3379,4487 By Matching Biggest Common Factor Method

Factors of 3379

List of positive integer factors of 3379 that divides 3379 without a remainder.

1,31,109,3379

Factors of 4487

List of positive integer factors of 4487 that divides 4487 without a remainder.

1,7,641,4487

Greatest Common Factor

We found the factors 3379,4487 . The biggest common factor number is the GCF number.
So the greatest common factor 3379,4487 is 1.

Lets's calculate LCM of 592,7641

Given numbers has no common factors except 1. So, there LCM is their product i.e 4523472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4523472

Therefore, the GCF of Fractions 3379/592,4487/7641 is 1/4523472

Least Common Multiple of 592,7641 with GCF Formula

Least Common Multiple of 592,7641 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 592,7641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,7641) = 1

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

GCF(592,7641) x common factors =1 x 1 = 1

LCM(592,7641) = ( 592 × 7641 ) / 1

LCM(592,7641) = 4523472 / 1

LCM(592,7641) = 4523472


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 3379/592, 4487/7641

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 3379/592, 4487/7641?

Answer: GCF of Numerators as per given numbers 3379/592, 4487/7641 is

GCF of Numerators i.e. for 3379,4487 is 1

LCM of denominators i.e. for 592,7641 is 4523472.

Thus, GCF of Fractions is 1/4523472.Finally, GCF of Fractions for 3379/592, 4487/7641 is 1/4523472.