Greatest Common Factor of 861/442, 230/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 861/442, 230/210

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 861/442,230/210

Given fractions are 861/442,230/210

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 861,230

Greatest Common Factor of Numerators i.e. GCF of 861,230 is 1 .

LCM of Denominators means LCM of 442,210 as per the given fractions.

LCM of 442,210 is 46410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 861,230

GCF of Fractions 861/442,230/210 is 1/46410

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

Greatest Common Factor of 861,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,230 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 861,230 . The biggest common factor number is the GCF number.
So the greatest common factor 861,230 is 1.

Lets's calculate LCM of 442,210

2 442, 210
221, 105

∴ So the LCM of the given numbers is 2 x 221 x 105 = 46410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46410

Therefore, the GCF of Fractions 861/442,230/210 is 1/46410

Least Common Multiple of 442,210 with GCF Formula

Least Common Multiple of 442,210 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 442,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,210) = 2

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

GCF(442,210) x common factors =2 x 1 = 2

LCM(442,210) = ( 442 × 210 ) / 2

LCM(442,210) = 92820 / 2

LCM(442,210) = 46410


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 861/442, 230/210

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 861/442, 230/210?

Answer: GCF of Numerators as per given numbers 861/442, 230/210 is

GCF of Numerators i.e. for 861,230 is 1

LCM of denominators i.e. for 442,210 is 46410.

Thus, GCF of Fractions is 1/46410.Finally, GCF of Fractions for 861/442, 230/210 is 1/46410.