Greatest Common Factor of 82/23, 870/85, 435/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/23, 870/85, 435/406

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 82/23,870/85,435/406

Given fractions are 82/23,870/85,435/406

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 82,870,435

Greatest Common Factor of Numerators i.e. GCF of 82,870,435 is 1 .

LCM of Denominators means LCM of 23,85,406 as per the given fractions.

LCM of 23,85,406 is 793730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,870,435

GCF of Fractions 82/23,870/85,435/406 is 1/793730

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

Greatest Common Factor of 82,870,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,870,435 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

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 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 82,870,435 . The biggest common factor number is the GCF number.
So the greatest common factor 82,870,435 is 1.

Lets's calculate LCM of 23,85,406

Given numbers has no common factors except 1. So, there LCM is their product i.e 793730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/793730

Therefore, the GCF of Fractions 82/23,870/85,435/406 is 1/793730

Least Common Multiple of 23,85,406 with GCF Formula

Least Common Multiple of 23,85,406 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 23,85,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,85,406) = 1

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

GCF(23,85,406) x common factors =1 x 1 = 1

LCM(23,85,406) = ( 23 × 85 × 406 ) / 1

LCM(23,85,406) = 793730 / 1

LCM(23,85,406) = 793730


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 82/23, 870/85, 435/406

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 82/23, 870/85, 435/406?

Answer: GCF of Numerators as per given numbers 82/23, 870/85, 435/406 is

GCF of Numerators i.e. for 82,870,435 is 1

LCM of denominators i.e. for 23,85,406 is 793730.

Thus, GCF of Fractions is 1/793730.Finally, GCF of Fractions for 82/23, 870/85, 435/406 is 1/793730.