Greatest Common Factor of 1631/363, 1590/4394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1631/363, 1590/4394

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 1631/363,1590/4394

Given fractions are 1631/363,1590/4394

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 1631,1590

Greatest Common Factor of Numerators i.e. GCF of 1631,1590 is 1 .

LCM of Denominators means LCM of 363,4394 as per the given fractions.

LCM of 363,4394 is 1595022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1631,1590

GCF of Fractions 1631/363,1590/4394 is 1/1595022

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

Greatest Common Factor of 1631,1590 By Matching Biggest Common Factor Method

Greatest Common Factor of 1631,1590 By Matching Biggest Common Factor Method

Factors of 1631

List of positive integer factors of 1631 that divides 1631 without a remainder.

1,7,233,1631

Factors of 1590

List of positive integer factors of 1590 that divides 1590 without a remainder.

1,2,3,5,6,10,15,30,53,106,159,265,318,530,795,1590

Greatest Common Factor

We found the factors 1631,1590 . The biggest common factor number is the GCF number.
So the greatest common factor 1631,1590 is 1.

Lets's calculate LCM of 363,4394

Given numbers has no common factors except 1. So, there LCM is their product i.e 1595022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1595022

Therefore, the GCF of Fractions 1631/363,1590/4394 is 1/1595022

Least Common Multiple of 363,4394 with GCF Formula

Least Common Multiple of 363,4394 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 363,4394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,4394) = 1

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

GCF(363,4394) x common factors =1 x 1 = 1

LCM(363,4394) = ( 363 × 4394 ) / 1

LCM(363,4394) = 1595022 / 1

LCM(363,4394) = 1595022


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 1631/363, 1590/4394

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 1631/363, 1590/4394?

Answer: GCF of Numerators as per given numbers 1631/363, 1590/4394 is

GCF of Numerators i.e. for 1631,1590 is 1

LCM of denominators i.e. for 363,4394 is 1595022.

Thus, GCF of Fractions is 1/1595022.Finally, GCF of Fractions for 1631/363, 1590/4394 is 1/1595022.