Greatest Common Factor of 7261/161, 4033/7299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7261/161, 4033/7299

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 7261/161,4033/7299

Given fractions are 7261/161,4033/7299

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 7261,4033

Greatest Common Factor of Numerators i.e. GCF of 7261,4033 is 1 .

LCM of Denominators means LCM of 161,7299 as per the given fractions.

LCM of 161,7299 is 1175139 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7261,4033

GCF of Fractions 7261/161,4033/7299 is 1/1175139

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

Greatest Common Factor of 7261,4033 By Matching Biggest Common Factor Method

Greatest Common Factor of 7261,4033 By Matching Biggest Common Factor Method

Factors of 7261

List of positive integer factors of 7261 that divides 7261 without a remainder.

1,53,137,7261

Factors of 4033

List of positive integer factors of 4033 that divides 4033 without a remainder.

1,37,109,4033

Greatest Common Factor

We found the factors 7261,4033 . The biggest common factor number is the GCF number.
So the greatest common factor 7261,4033 is 1.

Lets's calculate LCM of 161,7299

Given numbers has no common factors except 1. So, there LCM is their product i.e 1175139

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1175139

Therefore, the GCF of Fractions 7261/161,4033/7299 is 1/1175139

Least Common Multiple of 161,7299 with GCF Formula

Least Common Multiple of 161,7299 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 161,7299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(161,7299) = 1

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

GCF(161,7299) x common factors =1 x 1 = 1

LCM(161,7299) = ( 161 × 7299 ) / 1

LCM(161,7299) = 1175139 / 1

LCM(161,7299) = 1175139


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 7261/161, 4033/7299

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 7261/161, 4033/7299?

Answer: GCF of Numerators as per given numbers 7261/161, 4033/7299 is

GCF of Numerators i.e. for 7261,4033 is 1

LCM of denominators i.e. for 161,7299 is 1175139.

Thus, GCF of Fractions is 1/1175139.Finally, GCF of Fractions for 7261/161, 4033/7299 is 1/1175139.