Greatest Common Factor of 164/367, 3462/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 164/367, 3462/900

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 164/367,3462/900

Given fractions are 164/367,3462/900

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 164,3462

Greatest Common Factor of Numerators i.e. GCF of 164,3462 is 2 .

LCM of Denominators means LCM of 367,900 as per the given fractions.

LCM of 367,900 is 330300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 164,3462

GCF of Fractions 164/367,3462/900 is 2/330300

2 164, 3462
82, 1731

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

Greatest Common Factor of 164,3462 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,3462 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 3462

List of positive integer factors of 3462 that divides 3462 without a remainder.

1,2,3,6,577,1154,1731,3462

Greatest Common Factor

We found the factors 164,3462 . The biggest common factor number is the GCF number.
So the greatest common factor 164,3462 is 2.

Lets's calculate LCM of 367,900

Given numbers has no common factors except 1. So, there LCM is their product i.e 330300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/330300

Therefore, the GCF of Fractions 164/367,3462/900 is 2/330300

Least Common Multiple of 367,900 with GCF Formula

Least Common Multiple of 367,900 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 367,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,900) = 1

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

GCF(367,900) x common factors =1 x 1 = 1

LCM(367,900) = ( 367 × 900 ) / 1

LCM(367,900) = 330300 / 1

LCM(367,900) = 330300


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 164/367, 3462/900

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 164/367, 3462/900?

Answer: GCF of Numerators as per given numbers 164/367, 3462/900 is

GCF of Numerators i.e. for 164,3462 is 2

LCM of denominators i.e. for 367,900 is 330300.

Thus, GCF of Fractions is 2/330300.Finally, GCF of Fractions for 164/367, 3462/900 is 2/330300.