Greatest Common Factor of 759/549, 7412/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 759/549, 7412/361

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 759/549,7412/361

Given fractions are 759/549,7412/361

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 759,7412

Greatest Common Factor of Numerators i.e. GCF of 759,7412 is 1 .

LCM of Denominators means LCM of 549,361 as per the given fractions.

LCM of 549,361 is 198189 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 759,7412

GCF of Fractions 759/549,7412/361 is 1/198189

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

Greatest Common Factor of 759,7412 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,7412 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 7412

List of positive integer factors of 7412 that divides 7412 without a remainder.

1,2,4,17,34,68,109,218,436,1853,3706,7412

Greatest Common Factor

We found the factors 759,7412 . The biggest common factor number is the GCF number.
So the greatest common factor 759,7412 is 1.

Lets's calculate LCM of 549,361

Given numbers has no common factors except 1. So, there LCM is their product i.e 198189

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198189

Therefore, the GCF of Fractions 759/549,7412/361 is 1/198189

Least Common Multiple of 549,361 with GCF Formula

Least Common Multiple of 549,361 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 549,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,361) = 1

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

GCF(549,361) x common factors =1 x 1 = 1

LCM(549,361) = ( 549 × 361 ) / 1

LCM(549,361) = 198189 / 1

LCM(549,361) = 198189


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 759/549, 7412/361

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 759/549, 7412/361?

Answer: GCF of Numerators as per given numbers 759/549, 7412/361 is

GCF of Numerators i.e. for 759,7412 is 1

LCM of denominators i.e. for 549,361 is 198189.

Thus, GCF of Fractions is 1/198189.Finally, GCF of Fractions for 759/549, 7412/361 is 1/198189.