Greatest Common Factor of 3223/49, 7353/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3223/49, 7353/601

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 3223/49,7353/601

Given fractions are 3223/49,7353/601

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 3223,7353

Greatest Common Factor of Numerators i.e. GCF of 3223,7353 is 1 .

LCM of Denominators means LCM of 49,601 as per the given fractions.

LCM of 49,601 is 29449 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3223,7353

GCF of Fractions 3223/49,7353/601 is 1/29449

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

Greatest Common Factor of 3223,7353 By Matching Biggest Common Factor Method

Greatest Common Factor of 3223,7353 By Matching Biggest Common Factor Method

Factors of 3223

List of positive integer factors of 3223 that divides 3223 without a remainder.

1,11,293,3223

Factors of 7353

List of positive integer factors of 7353 that divides 7353 without a remainder.

1,3,9,19,43,57,129,171,387,817,2451,7353

Greatest Common Factor

We found the factors 3223,7353 . The biggest common factor number is the GCF number.
So the greatest common factor 3223,7353 is 1.

Lets's calculate LCM of 49,601

Given numbers has no common factors except 1. So, there LCM is their product i.e 29449

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29449

Therefore, the GCF of Fractions 3223/49,7353/601 is 1/29449

Least Common Multiple of 49,601 with GCF Formula

Least Common Multiple of 49,601 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 49,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,601) = 1

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

GCF(49,601) x common factors =1 x 1 = 1

LCM(49,601) = ( 49 × 601 ) / 1

LCM(49,601) = 29449 / 1

LCM(49,601) = 29449


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 3223/49, 7353/601

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 3223/49, 7353/601?

Answer: GCF of Numerators as per given numbers 3223/49, 7353/601 is

GCF of Numerators i.e. for 3223,7353 is 1

LCM of denominators i.e. for 49,601 is 29449.

Thus, GCF of Fractions is 1/29449.Finally, GCF of Fractions for 3223/49, 7353/601 is 1/29449.