Greatest Common Factor of 3181/99, 4124/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3181/99, 4124/201

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 3181/99,4124/201

Given fractions are 3181/99,4124/201

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 3181,4124

Greatest Common Factor of Numerators i.e. GCF of 3181,4124 is 1 .

LCM of Denominators means LCM of 99,201 as per the given fractions.

LCM of 99,201 is 6633 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3181,4124

GCF of Fractions 3181/99,4124/201 is 1/6633

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

Greatest Common Factor of 3181,4124 By Matching Biggest Common Factor Method

Greatest Common Factor of 3181,4124 By Matching Biggest Common Factor Method

Factors of 3181

List of positive integer factors of 3181 that divides 3181 without a remainder.

1,3181

Factors of 4124

List of positive integer factors of 4124 that divides 4124 without a remainder.

1,2,4,1031,2062,4124

Greatest Common Factor

We found the factors 3181,4124 . The biggest common factor number is the GCF number.
So the greatest common factor 3181,4124 is 1.

Lets's calculate LCM of 99,201

3 99, 201
33, 67

∴ So the LCM of the given numbers is 3 x 33 x 67 = 6633

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6633

Therefore, the GCF of Fractions 3181/99,4124/201 is 1/6633

Least Common Multiple of 99,201 with GCF Formula

Least Common Multiple of 99,201 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 99,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,201) = 3

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

GCF(99,201) x common factors =3 x 1 = 3

LCM(99,201) = ( 99 × 201 ) / 3

LCM(99,201) = 19899 / 3

LCM(99,201) = 6633


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 3181/99, 4124/201

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 3181/99, 4124/201?

Answer: GCF of Numerators as per given numbers 3181/99, 4124/201 is

GCF of Numerators i.e. for 3181,4124 is 1

LCM of denominators i.e. for 99,201 is 6633.

Thus, GCF of Fractions is 1/6633.Finally, GCF of Fractions for 3181/99, 4124/201 is 1/6633.