Greatest Common Factor of 36/806, 82/837, 262/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/806, 82/837, 262/903

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 36/806,82/837,262/903

Given fractions are 36/806,82/837,262/903

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 36,82,262

Greatest Common Factor of Numerators i.e. GCF of 36,82,262 is 2 .

LCM of Denominators means LCM of 806,837,903 as per the given fractions.

LCM of 806,837,903 is 6550362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,82,262

GCF of Fractions 36/806,82/837,262/903 is 2/6550362

2 36, 82, 262
18, 41, 131

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 36,82,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,82,262 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 82

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

1,2,41,82

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 36,82,262 . The biggest common factor number is the GCF number.
So the greatest common factor 36,82,262 is 2.

Lets's calculate LCM of 806,837,903

3 806, 837, 903
31 806, 279, 301
26, 9, 301

∴ So the LCM of the given numbers is 3 x 31 x 26 x 9 x 301 = 6550362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6550362

Therefore, the GCF of Fractions 36/806,82/837,262/903 is 2/6550362

Least Common Multiple of 806,837,903 with GCF Formula

Least Common Multiple of 806,837,903 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 806,837,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,837,903) = 1

common factors(in case of two or more numbers have common factors) = 93

GCF(806,837,903) x common factors =1 x 93 = 93

LCM(806,837,903) = ( 806 × 837 × 903 ) / 93

LCM(806,837,903) = 609183666 / 93

LCM(806,837,903) = 6550362


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 36/806, 82/837, 262/903

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 36/806, 82/837, 262/903?

Answer: GCF of Numerators as per given numbers 36/806, 82/837, 262/903 is

GCF of Numerators i.e. for 36,82,262 is 2

LCM of denominators i.e. for 806,837,903 is 6550362.

Thus, GCF of Fractions is 2/6550362.Finally, GCF of Fractions for 36/806, 82/837, 262/903 is 2/6550362.