Greatest Common Factor of 805/223, 725/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 805/223, 725/615

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 805/223,725/615

Given fractions are 805/223,725/615

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 805,725

Greatest Common Factor of Numerators i.e. GCF of 805,725 is 5 .

LCM of Denominators means LCM of 223,615 as per the given fractions.

LCM of 223,615 is 137145 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 805,725

GCF of Fractions 805/223,725/615 is 5/137145

5 805, 725
161, 145

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

Greatest Common Factor of 805,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,725 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 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 805,725 . The biggest common factor number is the GCF number.
So the greatest common factor 805,725 is 5.

Lets's calculate LCM of 223,615

Given numbers has no common factors except 1. So, there LCM is their product i.e 137145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/137145

Therefore, the GCF of Fractions 805/223,725/615 is 5/137145

Least Common Multiple of 223,615 with GCF Formula

Least Common Multiple of 223,615 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 223,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,615) = 1

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

GCF(223,615) x common factors =1 x 1 = 1

LCM(223,615) = ( 223 × 615 ) / 1

LCM(223,615) = 137145 / 1

LCM(223,615) = 137145


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 805/223, 725/615

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 805/223, 725/615?

Answer: GCF of Numerators as per given numbers 805/223, 725/615 is

GCF of Numerators i.e. for 805,725 is 5

LCM of denominators i.e. for 223,615 is 137145.

Thus, GCF of Fractions is 5/137145.Finally, GCF of Fractions for 805/223, 725/615 is 5/137145.