Greatest Common Factor of 870/150, 340/397, 184/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 870/150, 340/397, 184/321

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 870/150,340/397,184/321

Given fractions are 870/150,340/397,184/321

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 870,340,184

Greatest Common Factor of Numerators i.e. GCF of 870,340,184 is 2 .

LCM of Denominators means LCM of 150,397,321 as per the given fractions.

LCM of 150,397,321 is 6371850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 870,340,184

GCF of Fractions 870/150,340/397,184/321 is 2/6371850

2 870, 340, 184
435, 170, 92

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

Greatest Common Factor of 870,340,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,340,184 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 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 870,340,184 . The biggest common factor number is the GCF number.
So the greatest common factor 870,340,184 is 2.

Lets's calculate LCM of 150,397,321

3 150, 397, 321
50, 397, 107

∴ So the LCM of the given numbers is 3 x 50 x 397 x 107 = 6371850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6371850

Therefore, the GCF of Fractions 870/150,340/397,184/321 is 2/6371850

Least Common Multiple of 150,397,321 with GCF Formula

Least Common Multiple of 150,397,321 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 150,397,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,397,321) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(150,397,321) x common factors =1 x 3 = 3

LCM(150,397,321) = ( 150 × 397 × 321 ) / 3

LCM(150,397,321) = 19115550 / 3

LCM(150,397,321) = 6371850


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 870/150, 340/397, 184/321

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 870/150, 340/397, 184/321?

Answer: GCF of Numerators as per given numbers 870/150, 340/397, 184/321 is

GCF of Numerators i.e. for 870,340,184 is 2

LCM of denominators i.e. for 150,397,321 is 6371850.

Thus, GCF of Fractions is 2/6371850.Finally, GCF of Fractions for 870/150, 340/397, 184/321 is 2/6371850.