Greatest Common Factor of 870/30, 209/80, 381/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 870/30, 209/80, 381/936

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 870/30,209/80,381/936

Given fractions are 870/30,209/80,381/936

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 870,209,381

Greatest Common Factor of Numerators i.e. GCF of 870,209,381 is 1 .

LCM of Denominators means LCM of 30,80,936 as per the given fractions.

LCM of 30,80,936 is 9360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 870,209,381

GCF of Fractions 870/30,209/80,381/936 is 1/9360

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

Greatest Common Factor of 870,209,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,209,381 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 870,209,381 . The biggest common factor number is the GCF number.
So the greatest common factor 870,209,381 is 1.

Lets's calculate LCM of 30,80,936

2 30, 80, 936
2 15, 40, 468
2 15, 20, 234
3 15, 10, 117
5 5, 10, 39
1, 2, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 2 x 39 = 9360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9360

Therefore, the GCF of Fractions 870/30,209/80,381/936 is 1/9360

Least Common Multiple of 30,80,936 with GCF Formula

Least Common Multiple of 30,80,936 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 30,80,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,80,936) = 2

common factors(in case of two or more numbers have common factors) = 120

GCF(30,80,936) x common factors =2 x 120 = 240

LCM(30,80,936) = ( 30 × 80 × 936 ) / 240

LCM(30,80,936) = 2246400 / 240

LCM(30,80,936) = 9360


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 870/30, 209/80, 381/936

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 870/30, 209/80, 381/936?

Answer: GCF of Numerators as per given numbers 870/30, 209/80, 381/936 is

GCF of Numerators i.e. for 870,209,381 is 1

LCM of denominators i.e. for 30,80,936 is 9360.

Thus, GCF of Fractions is 1/9360.Finally, GCF of Fractions for 870/30, 209/80, 381/936 is 1/9360.