Greatest Common Factor of 870/162, 9135/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 870/162, 9135/451

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 870/162,9135/451

Given fractions are 870/162,9135/451

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 870,9135

Greatest Common Factor of Numerators i.e. GCF of 870,9135 is 435 .

LCM of Denominators means LCM of 162,451 as per the given fractions.

LCM of 162,451 is 73062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 870,9135

GCF of Fractions 870/162,9135/451 is 435/73062

3 870, 9135
5 290, 3045
29 58, 609
2, 21

∴ So the GCF of the given numbers is 3 x 5 x 29 = 435

Greatest Common Factor of 870,9135 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,9135 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 9135

List of positive integer factors of 9135 that divides 9135 without a remainder.

1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135

Greatest Common Factor

We found the factors 870,9135 . The biggest common factor number is the GCF number.
So the greatest common factor 870,9135 is 435.

Lets's calculate LCM of 162,451

Given numbers has no common factors except 1. So, there LCM is their product i.e 73062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 435/73062

Therefore, the GCF of Fractions 870/162,9135/451 is 435/73062

Least Common Multiple of 162,451 with GCF Formula

Least Common Multiple of 162,451 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 162,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,451) = 1

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

GCF(162,451) x common factors =1 x 1 = 1

LCM(162,451) = ( 162 × 451 ) / 1

LCM(162,451) = 73062 / 1

LCM(162,451) = 73062


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 870/162, 9135/451

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 870/162, 9135/451?

Answer: GCF of Numerators as per given numbers 870/162, 9135/451 is

GCF of Numerators i.e. for 870,9135 is 435

LCM of denominators i.e. for 162,451 is 73062.

Thus, GCF of Fractions is 435/73062.Finally, GCF of Fractions for 870/162, 9135/451 is 435/73062.