Greatest Common Factor of 164/55, 285/75, 810/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 164/55, 285/75, 810/724

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 164/55,285/75,810/724

Given fractions are 164/55,285/75,810/724

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 164,285,810

Greatest Common Factor of Numerators i.e. GCF of 164,285,810 is 1 .

LCM of Denominators means LCM of 55,75,724 as per the given fractions.

LCM of 55,75,724 is 597300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 164,285,810

GCF of Fractions 164/55,285/75,810/724 is 1/597300

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

Greatest Common Factor of 164,285,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,285,810 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 164,285,810 . The biggest common factor number is the GCF number.
So the greatest common factor 164,285,810 is 1.

Lets's calculate LCM of 55,75,724

5 55, 75, 724
11, 15, 724

∴ So the LCM of the given numbers is 5 x 11 x 15 x 724 = 597300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/597300

Therefore, the GCF of Fractions 164/55,285/75,810/724 is 1/597300

Least Common Multiple of 55,75,724 with GCF Formula

Least Common Multiple of 55,75,724 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 55,75,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,75,724) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,75,724) x common factors =1 x 5 = 5

LCM(55,75,724) = ( 55 × 75 × 724 ) / 5

LCM(55,75,724) = 2986500 / 5

LCM(55,75,724) = 597300


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 164/55, 285/75, 810/724

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 164/55, 285/75, 810/724?

Answer: GCF of Numerators as per given numbers 164/55, 285/75, 810/724 is

GCF of Numerators i.e. for 164,285,810 is 1

LCM of denominators i.e. for 55,75,724 is 597300.

Thus, GCF of Fractions is 1/597300.Finally, GCF of Fractions for 164/55, 285/75, 810/724 is 1/597300.