Greatest Common Factor of 4661/727, 3453/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4661/727, 3453/238

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 4661/727,3453/238

Given fractions are 4661/727,3453/238

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 4661,3453

Greatest Common Factor of Numerators i.e. GCF of 4661,3453 is 1 .

LCM of Denominators means LCM of 727,238 as per the given fractions.

LCM of 727,238 is 173026 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4661,3453

GCF of Fractions 4661/727,3453/238 is 1/173026

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

Greatest Common Factor of 4661,3453 By Matching Biggest Common Factor Method

Greatest Common Factor of 4661,3453 By Matching Biggest Common Factor Method

Factors of 4661

List of positive integer factors of 4661 that divides 4661 without a remainder.

1,59,79,4661

Factors of 3453

List of positive integer factors of 3453 that divides 3453 without a remainder.

1,3,1151,3453

Greatest Common Factor

We found the factors 4661,3453 . The biggest common factor number is the GCF number.
So the greatest common factor 4661,3453 is 1.

Lets's calculate LCM of 727,238

Given numbers has no common factors except 1. So, there LCM is their product i.e 173026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173026

Therefore, the GCF of Fractions 4661/727,3453/238 is 1/173026

Least Common Multiple of 727,238 with GCF Formula

Least Common Multiple of 727,238 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 727,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,238) = 1

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

GCF(727,238) x common factors =1 x 1 = 1

LCM(727,238) = ( 727 × 238 ) / 1

LCM(727,238) = 173026 / 1

LCM(727,238) = 173026


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 4661/727, 3453/238

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 4661/727, 3453/238?

Answer: GCF of Numerators as per given numbers 4661/727, 3453/238 is

GCF of Numerators i.e. for 4661,3453 is 1

LCM of denominators i.e. for 727,238 is 173026.

Thus, GCF of Fractions is 1/173026.Finally, GCF of Fractions for 4661/727, 3453/238 is 1/173026.