Greatest Common Factor of 802/13, 859/36, 185/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 802/13, 859/36, 185/344

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 802/13,859/36,185/344

Given fractions are 802/13,859/36,185/344

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 802,859,185

Greatest Common Factor of Numerators i.e. GCF of 802,859,185 is 1 .

LCM of Denominators means LCM of 13,36,344 as per the given fractions.

LCM of 13,36,344 is 40248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 802,859,185

GCF of Fractions 802/13,859/36,185/344 is 1/40248

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

Greatest Common Factor of 802,859,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,859,185 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 802,859,185 . The biggest common factor number is the GCF number.
So the greatest common factor 802,859,185 is 1.

Lets's calculate LCM of 13,36,344

2 13, 36, 344
2 13, 18, 172
13, 9, 86

∴ So the LCM of the given numbers is 2 x 2 x 13 x 9 x 86 = 40248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40248

Therefore, the GCF of Fractions 802/13,859/36,185/344 is 1/40248

Least Common Multiple of 13,36,344 with GCF Formula

Least Common Multiple of 13,36,344 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 13,36,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,36,344) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(13,36,344) x common factors =1 x 4 = 4

LCM(13,36,344) = ( 13 × 36 × 344 ) / 4

LCM(13,36,344) = 160992 / 4

LCM(13,36,344) = 40248


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 802/13, 859/36, 185/344

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 802/13, 859/36, 185/344?

Answer: GCF of Numerators as per given numbers 802/13, 859/36, 185/344 is

GCF of Numerators i.e. for 802,859,185 is 1

LCM of denominators i.e. for 13,36,344 is 40248.

Thus, GCF of Fractions is 1/40248.Finally, GCF of Fractions for 802/13, 859/36, 185/344 is 1/40248.