Greatest Common Factor of 368/95, 254/60, 759/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 368/95, 254/60, 759/598

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 368/95,254/60,759/598

Given fractions are 368/95,254/60,759/598

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 368,254,759

Greatest Common Factor of Numerators i.e. GCF of 368,254,759 is 1 .

LCM of Denominators means LCM of 95,60,598 as per the given fractions.

LCM of 95,60,598 is 340860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 368,254,759

GCF of Fractions 368/95,254/60,759/598 is 1/340860

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

Greatest Common Factor of 368,254,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,254,759 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 759

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

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

Greatest Common Factor

We found the factors 368,254,759 . The biggest common factor number is the GCF number.
So the greatest common factor 368,254,759 is 1.

Lets's calculate LCM of 95,60,598

2 95, 60, 598
5 95, 30, 299
19, 6, 299

∴ So the LCM of the given numbers is 2 x 5 x 19 x 6 x 299 = 340860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340860

Therefore, the GCF of Fractions 368/95,254/60,759/598 is 1/340860

Least Common Multiple of 95,60,598 with GCF Formula

Least Common Multiple of 95,60,598 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 95,60,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,60,598) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(95,60,598) x common factors =1 x 10 = 10

LCM(95,60,598) = ( 95 × 60 × 598 ) / 10

LCM(95,60,598) = 3408600 / 10

LCM(95,60,598) = 340860


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 368/95, 254/60, 759/598

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 368/95, 254/60, 759/598?

Answer: GCF of Numerators as per given numbers 368/95, 254/60, 759/598 is

GCF of Numerators i.e. for 368,254,759 is 1

LCM of denominators i.e. for 95,60,598 is 340860.

Thus, GCF of Fractions is 1/340860.Finally, GCF of Fractions for 368/95, 254/60, 759/598 is 1/340860.