Greatest Common Factor of 446/97, 3645/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 446/97, 3645/301

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 446/97,3645/301

Given fractions are 446/97,3645/301

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 446,3645

Greatest Common Factor of Numerators i.e. GCF of 446,3645 is 1 .

LCM of Denominators means LCM of 97,301 as per the given fractions.

LCM of 97,301 is 29197 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 446,3645

GCF of Fractions 446/97,3645/301 is 1/29197

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

Greatest Common Factor of 446,3645 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,3645 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 3645

List of positive integer factors of 3645 that divides 3645 without a remainder.

1,3,5,9,15,27,45,81,135,243,405,729,1215,3645

Greatest Common Factor

We found the factors 446,3645 . The biggest common factor number is the GCF number.
So the greatest common factor 446,3645 is 1.

Lets's calculate LCM of 97,301

Given numbers has no common factors except 1. So, there LCM is their product i.e 29197

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29197

Therefore, the GCF of Fractions 446/97,3645/301 is 1/29197

Least Common Multiple of 97,301 with GCF Formula

Least Common Multiple of 97,301 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 97,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,301) = 1

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

GCF(97,301) x common factors =1 x 1 = 1

LCM(97,301) = ( 97 × 301 ) / 1

LCM(97,301) = 29197 / 1

LCM(97,301) = 29197


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 446/97, 3645/301

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 446/97, 3645/301?

Answer: GCF of Numerators as per given numbers 446/97, 3645/301 is

GCF of Numerators i.e. for 446,3645 is 1

LCM of denominators i.e. for 97,301 is 29197.

Thus, GCF of Fractions is 1/29197.Finally, GCF of Fractions for 446/97, 3645/301 is 1/29197.