Greatest Common Factor of 164/253, 612/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 164/253, 612/585

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 164/253,612/585

Given fractions are 164/253,612/585

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 164,612

Greatest Common Factor of Numerators i.e. GCF of 164,612 is 4 .

LCM of Denominators means LCM of 253,585 as per the given fractions.

LCM of 253,585 is 148005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 164,612

GCF of Fractions 164/253,612/585 is 4/148005

2 164, 612
2 82, 306
41, 153

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 164,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,612 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 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 164,612 . The biggest common factor number is the GCF number.
So the greatest common factor 164,612 is 4.

Lets's calculate LCM of 253,585

Given numbers has no common factors except 1. So, there LCM is their product i.e 148005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/148005

Therefore, the GCF of Fractions 164/253,612/585 is 4/148005

Least Common Multiple of 253,585 with GCF Formula

Least Common Multiple of 253,585 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 253,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,585) = 1

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

GCF(253,585) x common factors =1 x 1 = 1

LCM(253,585) = ( 253 × 585 ) / 1

LCM(253,585) = 148005 / 1

LCM(253,585) = 148005


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 164/253, 612/585

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 164/253, 612/585?

Answer: GCF of Numerators as per given numbers 164/253, 612/585 is

GCF of Numerators i.e. for 164,612 is 4

LCM of denominators i.e. for 253,585 is 148005.

Thus, GCF of Fractions is 4/148005.Finally, GCF of Fractions for 164/253, 612/585 is 4/148005.