Greatest Common Factor of 2401/22, 8207/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2401/22, 8207/143

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 2401/22,8207/143

Given fractions are 2401/22,8207/143

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 2401,8207

Greatest Common Factor of Numerators i.e. GCF of 2401,8207 is 1 .

LCM of Denominators means LCM of 22,143 as per the given fractions.

LCM of 22,143 is 286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2401,8207

GCF of Fractions 2401/22,8207/143 is 1/286

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

Greatest Common Factor of 2401,8207 By Matching Biggest Common Factor Method

Greatest Common Factor of 2401,8207 By Matching Biggest Common Factor Method

Factors of 2401

List of positive integer factors of 2401 that divides 2401 without a remainder.

1,7,49,343,2401

Factors of 8207

List of positive integer factors of 8207 that divides 8207 without a remainder.

1,29,283,8207

Greatest Common Factor

We found the factors 2401,8207 . The biggest common factor number is the GCF number.
So the greatest common factor 2401,8207 is 1.

Lets's calculate LCM of 22,143

11 22, 143
2, 13

∴ So the LCM of the given numbers is 11 x 2 x 13 = 286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286

Therefore, the GCF of Fractions 2401/22,8207/143 is 1/286

Least Common Multiple of 22,143 with GCF Formula

Least Common Multiple of 22,143 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 22,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,143) = 11

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

GCF(22,143) x common factors =11 x 1 = 11

LCM(22,143) = ( 22 × 143 ) / 11

LCM(22,143) = 3146 / 11

LCM(22,143) = 286


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 2401/22, 8207/143

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 2401/22, 8207/143?

Answer: GCF of Numerators as per given numbers 2401/22, 8207/143 is

GCF of Numerators i.e. for 2401,8207 is 1

LCM of denominators i.e. for 22,143 is 286.

Thus, GCF of Fractions is 1/286.Finally, GCF of Fractions for 2401/22, 8207/143 is 1/286.