Greatest Common Factor of 601/85, 3225/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 601/85, 3225/221

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 601/85,3225/221

Given fractions are 601/85,3225/221

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 601,3225

Greatest Common Factor of Numerators i.e. GCF of 601,3225 is 1 .

LCM of Denominators means LCM of 85,221 as per the given fractions.

LCM of 85,221 is 1105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 601,3225

GCF of Fractions 601/85,3225/221 is 1/1105

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

Greatest Common Factor of 601,3225 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,3225 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 3225

List of positive integer factors of 3225 that divides 3225 without a remainder.

1,3,5,15,25,43,75,129,215,645,1075,3225

Greatest Common Factor

We found the factors 601,3225 . The biggest common factor number is the GCF number.
So the greatest common factor 601,3225 is 1.

Lets's calculate LCM of 85,221

17 85, 221
5, 13

∴ So the LCM of the given numbers is 17 x 5 x 13 = 1105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1105

Therefore, the GCF of Fractions 601/85,3225/221 is 1/1105

Least Common Multiple of 85,221 with GCF Formula

Least Common Multiple of 85,221 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 85,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,221) = 17

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

GCF(85,221) x common factors =17 x 1 = 17

LCM(85,221) = ( 85 × 221 ) / 17

LCM(85,221) = 18785 / 17

LCM(85,221) = 1105


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 601/85, 3225/221

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 601/85, 3225/221?

Answer: GCF of Numerators as per given numbers 601/85, 3225/221 is

GCF of Numerators i.e. for 601,3225 is 1

LCM of denominators i.e. for 85,221 is 1105.

Thus, GCF of Fractions is 1/1105.Finally, GCF of Fractions for 601/85, 3225/221 is 1/1105.