Greatest Common Factor of 379/403, 4588/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 379/403, 4588/434

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 379/403,4588/434

Given fractions are 379/403,4588/434

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 379,4588

Greatest Common Factor of Numerators i.e. GCF of 379,4588 is 1 .

LCM of Denominators means LCM of 403,434 as per the given fractions.

LCM of 403,434 is 5642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 379,4588

GCF of Fractions 379/403,4588/434 is 1/5642

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

Greatest Common Factor of 379,4588 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,4588 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 4588

List of positive integer factors of 4588 that divides 4588 without a remainder.

1,2,4,31,37,62,74,124,148,1147,2294,4588

Greatest Common Factor

We found the factors 379,4588 . The biggest common factor number is the GCF number.
So the greatest common factor 379,4588 is 1.


Lets's calculate LCM of 403,434

31 403, 434
13, 14

∴ So the LCM of the given numbers is 31 x 13 x 14 = 5642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5642

Therefore, the GCF of Fractions 379/403,4588/434 is 1/5642

Least Common Multiple of 403,434 with GCF Formula

Least Common Multiple of 403,434 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 403,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,434) = 31

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

GCF(403,434) x common factors =31 x 1 = 31

LCM(403,434) = ( 403 × 434 ) / 31

LCM(403,434) = 174902 / 31

LCM(403,434) = 5642


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 379/403, 4588/434

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 379/403, 4588/434?

Answer: GCF of Numerators as per given numbers 379/403, 4588/434 is

GCF of Numerators i.e. for 379,4588 is 1

LCM of denominators i.e. for 403,434 is 5642.

Thus, GCF of Fractions is 1/5642.Finally, GCF of Fractions for 379/403, 4588/434 is 1/5642.