Greatest Common Factor of 870/348, 1525/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 870/348, 1525/189

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 870/348,1525/189

Given fractions are 870/348,1525/189

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 870,1525

Greatest Common Factor of Numerators i.e. GCF of 870,1525 is 5 .

LCM of Denominators means LCM of 348,189 as per the given fractions.

LCM of 348,189 is 21924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 870,1525

GCF of Fractions 870/348,1525/189 is 5/21924

5 870, 1525
174, 305

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 870,1525 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,1525 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 1525

List of positive integer factors of 1525 that divides 1525 without a remainder.

1,5,25,61,305,1525

Greatest Common Factor

We found the factors 870,1525 . The biggest common factor number is the GCF number.
So the greatest common factor 870,1525 is 5.

Lets's calculate LCM of 348,189

3 348, 189
116, 63

∴ So the LCM of the given numbers is 3 x 116 x 63 = 21924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/21924

Therefore, the GCF of Fractions 870/348,1525/189 is 5/21924

Least Common Multiple of 348,189 with GCF Formula

Least Common Multiple of 348,189 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 348,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,189) = 3

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

GCF(348,189) x common factors =3 x 1 = 3

LCM(348,189) = ( 348 × 189 ) / 3

LCM(348,189) = 65772 / 3

LCM(348,189) = 21924


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 870/348, 1525/189

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 870/348, 1525/189?

Answer: GCF of Numerators as per given numbers 870/348, 1525/189 is

GCF of Numerators i.e. for 870,1525 is 5

LCM of denominators i.e. for 348,189 is 21924.

Thus, GCF of Fractions is 5/21924.Finally, GCF of Fractions for 870/348, 1525/189 is 5/21924.