Greatest Common Factor of 870/12, 418/3106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 870/12, 418/3106

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 870/12,418/3106

Given fractions are 870/12,418/3106

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 870,418

Greatest Common Factor of Numerators i.e. GCF of 870,418 is 2 .

LCM of Denominators means LCM of 12,3106 as per the given fractions.

LCM of 12,3106 is 18636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 870,418

GCF of Fractions 870/12,418/3106 is 2/18636

2 870, 418
435, 209

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

Greatest Common Factor of 870,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,418 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 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 870,418 . The biggest common factor number is the GCF number.
So the greatest common factor 870,418 is 2.

Lets's calculate LCM of 12,3106

2 12, 3106
6, 1553

∴ So the LCM of the given numbers is 2 x 6 x 1553 = 18636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18636

Therefore, the GCF of Fractions 870/12,418/3106 is 2/18636

Least Common Multiple of 12,3106 with GCF Formula

Least Common Multiple of 12,3106 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 12,3106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,3106) = 2

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

GCF(12,3106) x common factors =2 x 1 = 2

LCM(12,3106) = ( 12 × 3106 ) / 2

LCM(12,3106) = 37272 / 2

LCM(12,3106) = 18636


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 870/12, 418/3106

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 870/12, 418/3106?

Answer: GCF of Numerators as per given numbers 870/12, 418/3106 is

GCF of Numerators i.e. for 870,418 is 2

LCM of denominators i.e. for 12,3106 is 18636.

Thus, GCF of Fractions is 2/18636.Finally, GCF of Fractions for 870/12, 418/3106 is 2/18636.