Greatest Common Factor of 18/914, 859/381, 676/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/914, 859/381, 676/570

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 18/914,859/381,676/570

Given fractions are 18/914,859/381,676/570

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 18,859,676

Greatest Common Factor of Numerators i.e. GCF of 18,859,676 is 1 .

LCM of Denominators means LCM of 914,381,570 as per the given fractions.

LCM of 914,381,570 is 33082230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,859,676

GCF of Fractions 18/914,859/381,676/570 is 1/33082230

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

Greatest Common Factor of 18,859,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,859,676 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 18,859,676 . The biggest common factor number is the GCF number.
So the greatest common factor 18,859,676 is 1.

Lets's calculate LCM of 914,381,570

2 914, 381, 570
3 457, 381, 285
457, 127, 95

∴ So the LCM of the given numbers is 2 x 3 x 457 x 127 x 95 = 33082230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33082230

Therefore, the GCF of Fractions 18/914,859/381,676/570 is 1/33082230

Least Common Multiple of 914,381,570 with GCF Formula

Least Common Multiple of 914,381,570 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 914,381,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,381,570) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(914,381,570) x common factors =1 x 6 = 6

LCM(914,381,570) = ( 914 × 381 × 570 ) / 6

LCM(914,381,570) = 198493380 / 6

LCM(914,381,570) = 33082230


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 18/914, 859/381, 676/570

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 18/914, 859/381, 676/570?

Answer: GCF of Numerators as per given numbers 18/914, 859/381, 676/570 is

GCF of Numerators i.e. for 18,859,676 is 1

LCM of denominators i.e. for 914,381,570 is 33082230.

Thus, GCF of Fractions is 1/33082230.Finally, GCF of Fractions for 18/914, 859/381, 676/570 is 1/33082230.