Greatest Common Factor of 3261/897, 5995/1590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3261/897, 5995/1590

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 3261/897,5995/1590

Given fractions are 3261/897,5995/1590

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 3261,5995

Greatest Common Factor of Numerators i.e. GCF of 3261,5995 is 1 .

LCM of Denominators means LCM of 897,1590 as per the given fractions.

LCM of 897,1590 is 475410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3261,5995

GCF of Fractions 3261/897,5995/1590 is 1/475410

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

Greatest Common Factor of 3261,5995 By Matching Biggest Common Factor Method

Greatest Common Factor of 3261,5995 By Matching Biggest Common Factor Method

Factors of 3261

List of positive integer factors of 3261 that divides 3261 without a remainder.

1,3,1087,3261

Factors of 5995

List of positive integer factors of 5995 that divides 5995 without a remainder.

1,5,11,55,109,545,1199,5995

Greatest Common Factor

We found the factors 3261,5995 . The biggest common factor number is the GCF number.
So the greatest common factor 3261,5995 is 1.

Lets's calculate LCM of 897,1590

3 897, 1590
299, 530

∴ So the LCM of the given numbers is 3 x 299 x 530 = 475410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/475410

Therefore, the GCF of Fractions 3261/897,5995/1590 is 1/475410

Least Common Multiple of 897,1590 with GCF Formula

Least Common Multiple of 897,1590 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 897,1590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,1590) = 3

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

GCF(897,1590) x common factors =3 x 1 = 3

LCM(897,1590) = ( 897 × 1590 ) / 3

LCM(897,1590) = 1426230 / 3

LCM(897,1590) = 475410


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 3261/897, 5995/1590

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 3261/897, 5995/1590?

Answer: GCF of Numerators as per given numbers 3261/897, 5995/1590 is

GCF of Numerators i.e. for 3261,5995 is 1

LCM of denominators i.e. for 897,1590 is 475410.

Thus, GCF of Fractions is 1/475410.Finally, GCF of Fractions for 3261/897, 5995/1590 is 1/475410.