Greatest Common Factor of 18/210, 321/259, 889/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/210, 321/259, 889/446

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 18/210,321/259,889/446

Given fractions are 18/210,321/259,889/446

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 18,321,889

Greatest Common Factor of Numerators i.e. GCF of 18,321,889 is 1 .

LCM of Denominators means LCM of 210,259,446 as per the given fractions.

LCM of 210,259,446 is 1732710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,321,889

GCF of Fractions 18/210,321/259,889/446 is 1/1732710

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

Greatest Common Factor of 18,321,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,321,889 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 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 18,321,889 . The biggest common factor number is the GCF number.
So the greatest common factor 18,321,889 is 1.

Lets's calculate LCM of 210,259,446

2 210, 259, 446
7 105, 259, 223
15, 37, 223

∴ So the LCM of the given numbers is 2 x 7 x 15 x 37 x 223 = 1732710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1732710

Therefore, the GCF of Fractions 18/210,321/259,889/446 is 1/1732710

Least Common Multiple of 210,259,446 with GCF Formula

Least Common Multiple of 210,259,446 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 210,259,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,259,446) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(210,259,446) x common factors =1 x 14 = 14

LCM(210,259,446) = ( 210 × 259 × 446 ) / 14

LCM(210,259,446) = 24257940 / 14

LCM(210,259,446) = 1732710


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 18/210, 321/259, 889/446

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 18/210, 321/259, 889/446?

Answer: GCF of Numerators as per given numbers 18/210, 321/259, 889/446 is

GCF of Numerators i.e. for 18,321,889 is 1

LCM of denominators i.e. for 210,259,446 is 1732710.

Thus, GCF of Fractions is 1/1732710.Finally, GCF of Fractions for 18/210, 321/259, 889/446 is 1/1732710.