Greatest Common Factor of 903/85, 817/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 903/85, 817/860

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 903/85,817/860

Given fractions are 903/85,817/860

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 903,817

Greatest Common Factor of Numerators i.e. GCF of 903,817 is 43 .

LCM of Denominators means LCM of 85,860 as per the given fractions.

LCM of 85,860 is 14620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 903,817

GCF of Fractions 903/85,817/860 is 43/14620

43 903, 817
21, 19

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 903,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,817 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 903,817 . The biggest common factor number is the GCF number.
So the greatest common factor 903,817 is 43.

Lets's calculate LCM of 85,860

5 85, 860
17, 172

∴ So the LCM of the given numbers is 5 x 17 x 172 = 14620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/14620

Therefore, the GCF of Fractions 903/85,817/860 is 43/14620

Least Common Multiple of 85,860 with GCF Formula

Least Common Multiple of 85,860 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 85,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,860) = 5

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

GCF(85,860) x common factors =5 x 1 = 5

LCM(85,860) = ( 85 × 860 ) / 5

LCM(85,860) = 73100 / 5

LCM(85,860) = 14620


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 903/85, 817/860

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 903/85, 817/860?

Answer: GCF of Numerators as per given numbers 903/85, 817/860 is

GCF of Numerators i.e. for 903,817 is 43

LCM of denominators i.e. for 85,860 is 14620.

Thus, GCF of Fractions is 43/14620.Finally, GCF of Fractions for 903/85, 817/860 is 43/14620.