Greatest Common Factor of 7201/93, 5991/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7201/93, 5991/810

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 7201/93,5991/810

Given fractions are 7201/93,5991/810

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 7201,5991

Greatest Common Factor of Numerators i.e. GCF of 7201,5991 is 1 .

LCM of Denominators means LCM of 93,810 as per the given fractions.

LCM of 93,810 is 25110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7201,5991

GCF of Fractions 7201/93,5991/810 is 1/25110

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

Greatest Common Factor of 7201,5991 By Matching Biggest Common Factor Method

Greatest Common Factor of 7201,5991 By Matching Biggest Common Factor Method

Factors of 7201

List of positive integer factors of 7201 that divides 7201 without a remainder.

1,19,379,7201

Factors of 5991

List of positive integer factors of 5991 that divides 5991 without a remainder.

1,3,1997,5991

Greatest Common Factor

We found the factors 7201,5991 . The biggest common factor number is the GCF number.
So the greatest common factor 7201,5991 is 1.

Lets's calculate LCM of 93,810

3 93, 810
31, 270

∴ So the LCM of the given numbers is 3 x 31 x 270 = 25110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25110

Therefore, the GCF of Fractions 7201/93,5991/810 is 1/25110

Least Common Multiple of 93,810 with GCF Formula

Least Common Multiple of 93,810 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 93,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,810) = 3

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

GCF(93,810) x common factors =3 x 1 = 3

LCM(93,810) = ( 93 × 810 ) / 3

LCM(93,810) = 75330 / 3

LCM(93,810) = 25110


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 7201/93, 5991/810

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 7201/93, 5991/810?

Answer: GCF of Numerators as per given numbers 7201/93, 5991/810 is

GCF of Numerators i.e. for 7201,5991 is 1

LCM of denominators i.e. for 93,810 is 25110.

Thus, GCF of Fractions is 1/25110.Finally, GCF of Fractions for 7201/93, 5991/810 is 1/25110.