Greatest Common Factor of 367/717, 374/570, 157/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 367/717, 374/570, 157/819

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 367/717,374/570,157/819

Given fractions are 367/717,374/570,157/819

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 367,374,157

Greatest Common Factor of Numerators i.e. GCF of 367,374,157 is 1 .

LCM of Denominators means LCM of 717,570,819 as per the given fractions.

LCM of 717,570,819 is 37190790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 367,374,157

GCF of Fractions 367/717,374/570,157/819 is 1/37190790

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

Greatest Common Factor of 367,374,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,374,157 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 367,374,157 . The biggest common factor number is the GCF number.
So the greatest common factor 367,374,157 is 1.

Lets's calculate LCM of 717,570,819

3 717, 570, 819
239, 190, 273

∴ So the LCM of the given numbers is 3 x 239 x 190 x 273 = 37190790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37190790

Therefore, the GCF of Fractions 367/717,374/570,157/819 is 1/37190790

Least Common Multiple of 717,570,819 with GCF Formula

Least Common Multiple of 717,570,819 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 717,570,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,570,819) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(717,570,819) x common factors =3 x 3 = 9

LCM(717,570,819) = ( 717 × 570 × 819 ) / 9

LCM(717,570,819) = 334717110 / 9

LCM(717,570,819) = 37190790


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 367/717, 374/570, 157/819

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 367/717, 374/570, 157/819?

Answer: GCF of Numerators as per given numbers 367/717, 374/570, 157/819 is

GCF of Numerators i.e. for 367,374,157 is 1

LCM of denominators i.e. for 717,570,819 is 37190790.

Thus, GCF of Fractions is 1/37190790.Finally, GCF of Fractions for 367/717, 374/570, 157/819 is 1/37190790.