Greatest Common Factor of 4301/52, 5321/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4301/52, 5321/669

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 4301/52,5321/669

Given fractions are 4301/52,5321/669

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 4301,5321

Greatest Common Factor of Numerators i.e. GCF of 4301,5321 is 17 .

LCM of Denominators means LCM of 52,669 as per the given fractions.

LCM of 52,669 is 34788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4301,5321

GCF of Fractions 4301/52,5321/669 is 17/34788

17 4301, 5321
253, 313

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 4301,5321 By Matching Biggest Common Factor Method

Greatest Common Factor of 4301,5321 By Matching Biggest Common Factor Method

Factors of 4301

List of positive integer factors of 4301 that divides 4301 without a remainder.

1,11,17,23,187,253,391,4301

Factors of 5321

List of positive integer factors of 5321 that divides 5321 without a remainder.

1,17,313,5321

Greatest Common Factor

We found the factors 4301,5321 . The biggest common factor number is the GCF number.
So the greatest common factor 4301,5321 is 17.

Lets's calculate LCM of 52,669

Given numbers has no common factors except 1. So, there LCM is their product i.e 34788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/34788

Therefore, the GCF of Fractions 4301/52,5321/669 is 17/34788

Least Common Multiple of 52,669 with GCF Formula

Least Common Multiple of 52,669 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 52,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,669) = 1

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

GCF(52,669) x common factors =1 x 1 = 1

LCM(52,669) = ( 52 × 669 ) / 1

LCM(52,669) = 34788 / 1

LCM(52,669) = 34788


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 4301/52, 5321/669

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 4301/52, 5321/669?

Answer: GCF of Numerators as per given numbers 4301/52, 5321/669 is

GCF of Numerators i.e. for 4301,5321 is 17

LCM of denominators i.e. for 52,669 is 34788.

Thus, GCF of Fractions is 17/34788.Finally, GCF of Fractions for 4301/52, 5321/669 is 17/34788.