Greatest Common Factor of 171/80, 774/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 171/80, 774/223

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 171/80,774/223

Given fractions are 171/80,774/223

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 171,774

Greatest Common Factor of Numerators i.e. GCF of 171,774 is 9 .

LCM of Denominators means LCM of 80,223 as per the given fractions.

LCM of 80,223 is 17840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 171,774

GCF of Fractions 171/80,774/223 is 9/17840

3 171, 774
3 57, 258
19, 86

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 171,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,774 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 171,774 . The biggest common factor number is the GCF number.
So the greatest common factor 171,774 is 9.

Lets's calculate LCM of 80,223

Given numbers has no common factors except 1. So, there LCM is their product i.e 17840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/17840

Therefore, the GCF of Fractions 171/80,774/223 is 9/17840

Least Common Multiple of 80,223 with GCF Formula

Least Common Multiple of 80,223 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 80,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,223) = 1

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

GCF(80,223) x common factors =1 x 1 = 1

LCM(80,223) = ( 80 × 223 ) / 1

LCM(80,223) = 17840 / 1

LCM(80,223) = 17840


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 171/80, 774/223

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 171/80, 774/223?

Answer: GCF of Numerators as per given numbers 171/80, 774/223 is

GCF of Numerators i.e. for 171,774 is 9

LCM of denominators i.e. for 80,223 is 17840.

Thus, GCF of Fractions is 9/17840.Finally, GCF of Fractions for 171/80, 774/223 is 9/17840.