Greatest Common Factor of 866/347, 210/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 866/347, 210/920

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 866/347,210/920

Given fractions are 866/347,210/920

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 866,210

Greatest Common Factor of Numerators i.e. GCF of 866,210 is 2 .

LCM of Denominators means LCM of 347,920 as per the given fractions.

LCM of 347,920 is 319240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 866,210

GCF of Fractions 866/347,210/920 is 2/319240

2 866, 210
433, 105

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 866,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,210 By Matching Biggest Common Factor Method

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 866,210 . The biggest common factor number is the GCF number.
So the greatest common factor 866,210 is 2.

Lets's calculate LCM of 347,920

Given numbers has no common factors except 1. So, there LCM is their product i.e 319240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/319240

Therefore, the GCF of Fractions 866/347,210/920 is 2/319240

Least Common Multiple of 347,920 with GCF Formula

Least Common Multiple of 347,920 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 347,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,920) = 1

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

GCF(347,920) x common factors =1 x 1 = 1

LCM(347,920) = ( 347 × 920 ) / 1

LCM(347,920) = 319240 / 1

LCM(347,920) = 319240


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 866/347, 210/920

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 866/347, 210/920?

Answer: GCF of Numerators as per given numbers 866/347, 210/920 is

GCF of Numerators i.e. for 866,210 is 2

LCM of denominators i.e. for 347,920 is 319240.

Thus, GCF of Fractions is 2/319240.Finally, GCF of Fractions for 866/347, 210/920 is 2/319240.