Greatest Common Factor of 8417/81, 9836/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8417/81, 9836/585

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 8417/81,9836/585

Given fractions are 8417/81,9836/585

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 8417,9836

Greatest Common Factor of Numerators i.e. GCF of 8417,9836 is 1 .

LCM of Denominators means LCM of 81,585 as per the given fractions.

LCM of 81,585 is 5265 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8417,9836

GCF of Fractions 8417/81,9836/585 is 1/5265

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

Greatest Common Factor of 8417,9836 By Matching Biggest Common Factor Method

Greatest Common Factor of 8417,9836 By Matching Biggest Common Factor Method

Factors of 8417

List of positive integer factors of 8417 that divides 8417 without a remainder.

1,19,443,8417

Factors of 9836

List of positive integer factors of 9836 that divides 9836 without a remainder.

1,2,4,2459,4918,9836

Greatest Common Factor

We found the factors 8417,9836 . The biggest common factor number is the GCF number.
So the greatest common factor 8417,9836 is 1.

Lets's calculate LCM of 81,585

3 81, 585
3 27, 195
9, 65

∴ So the LCM of the given numbers is 3 x 3 x 9 x 65 = 5265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5265

Therefore, the GCF of Fractions 8417/81,9836/585 is 1/5265

Least Common Multiple of 81,585 with GCF Formula

Least Common Multiple of 81,585 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 81,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,585) = 9

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

GCF(81,585) x common factors =9 x 1 = 9

LCM(81,585) = ( 81 × 585 ) / 9

LCM(81,585) = 47385 / 9

LCM(81,585) = 5265


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 8417/81, 9836/585

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 8417/81, 9836/585?

Answer: GCF of Numerators as per given numbers 8417/81, 9836/585 is

GCF of Numerators i.e. for 8417,9836 is 1

LCM of denominators i.e. for 81,585 is 5265.

Thus, GCF of Fractions is 1/5265.Finally, GCF of Fractions for 8417/81, 9836/585 is 1/5265.