Greatest Common Factor of 836/23, 285/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 836/23, 285/458

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 836/23,285/458

Given fractions are 836/23,285/458

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 836,285

Greatest Common Factor of Numerators i.e. GCF of 836,285 is 19 .

LCM of Denominators means LCM of 23,458 as per the given fractions.

LCM of 23,458 is 10534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 836,285

GCF of Fractions 836/23,285/458 is 19/10534

19 836, 285
44, 15

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 836,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,285 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 836,285 . The biggest common factor number is the GCF number.
So the greatest common factor 836,285 is 19.

Lets's calculate LCM of 23,458

Given numbers has no common factors except 1. So, there LCM is their product i.e 10534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/10534

Therefore, the GCF of Fractions 836/23,285/458 is 19/10534

Least Common Multiple of 23,458 with GCF Formula

Least Common Multiple of 23,458 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 23,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,458) = 1

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

GCF(23,458) x common factors =1 x 1 = 1

LCM(23,458) = ( 23 × 458 ) / 1

LCM(23,458) = 10534 / 1

LCM(23,458) = 10534


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 836/23, 285/458

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 836/23, 285/458?

Answer: GCF of Numerators as per given numbers 836/23, 285/458 is

GCF of Numerators i.e. for 836,285 is 19

LCM of denominators i.e. for 23,458 is 10534.

Thus, GCF of Fractions is 19/10534.Finally, GCF of Fractions for 836/23, 285/458 is 19/10534.