Greatest Common Factor of 870/381, 165/216, 134/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 870/381, 165/216, 134/899

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 870/381,165/216,134/899

Given fractions are 870/381,165/216,134/899

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 870,165,134

Greatest Common Factor of Numerators i.e. GCF of 870,165,134 is 1 .

LCM of Denominators means LCM of 381,216,899 as per the given fractions.

LCM of 381,216,899 is 24661368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 870,165,134

GCF of Fractions 870/381,165/216,134/899 is 1/24661368

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

Greatest Common Factor of 870,165,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,165,134 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 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 870,165,134 . The biggest common factor number is the GCF number.
So the greatest common factor 870,165,134 is 1.

Lets's calculate LCM of 381,216,899

3 381, 216, 899
127, 72, 899

∴ So the LCM of the given numbers is 3 x 127 x 72 x 899 = 24661368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24661368

Therefore, the GCF of Fractions 870/381,165/216,134/899 is 1/24661368

Least Common Multiple of 381,216,899 with GCF Formula

Least Common Multiple of 381,216,899 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 381,216,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,216,899) = 1

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

GCF(381,216,899) x common factors =1 x 3 = 3

LCM(381,216,899) = ( 381 × 216 × 899 ) / 3

LCM(381,216,899) = 73984104 / 3

LCM(381,216,899) = 24661368


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 870/381, 165/216, 134/899

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 870/381, 165/216, 134/899?

Answer: GCF of Numerators as per given numbers 870/381, 165/216, 134/899 is

GCF of Numerators i.e. for 870,165,134 is 1

LCM of denominators i.e. for 381,216,899 is 24661368.

Thus, GCF of Fractions is 1/24661368.Finally, GCF of Fractions for 870/381, 165/216, 134/899 is 1/24661368.