Greatest Common Factor of 805/549, 185/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 805/549, 185/500

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 805/549,185/500

Given fractions are 805/549,185/500

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 805,185

Greatest Common Factor of Numerators i.e. GCF of 805,185 is 5 .

LCM of Denominators means LCM of 549,500 as per the given fractions.

LCM of 549,500 is 274500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 805,185

GCF of Fractions 805/549,185/500 is 5/274500

5 805, 185
161, 37

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 805,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,185 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

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 805,185 . The biggest common factor number is the GCF number.
So the greatest common factor 805,185 is 5.

Lets's calculate LCM of 549,500

Given numbers has no common factors except 1. So, there LCM is their product i.e 274500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/274500

Therefore, the GCF of Fractions 805/549,185/500 is 5/274500

Least Common Multiple of 549,500 with GCF Formula

Least Common Multiple of 549,500 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 549,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,500) = 1

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

GCF(549,500) x common factors =1 x 1 = 1

LCM(549,500) = ( 549 × 500 ) / 1

LCM(549,500) = 274500 / 1

LCM(549,500) = 274500


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 805/549, 185/500

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 805/549, 185/500?

Answer: GCF of Numerators as per given numbers 805/549, 185/500 is

GCF of Numerators i.e. for 805,185 is 5

LCM of denominators i.e. for 549,500 is 274500.

Thus, GCF of Fractions is 5/274500.Finally, GCF of Fractions for 805/549, 185/500 is 5/274500.