Greatest Common Factor of 5233/210, 8492/6231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5233/210, 8492/6231

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 5233/210,8492/6231

Given fractions are 5233/210,8492/6231

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 5233,8492

Greatest Common Factor of Numerators i.e. GCF of 5233,8492 is 1 .

LCM of Denominators means LCM of 210,6231 as per the given fractions.

LCM of 210,6231 is 436170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5233,8492

GCF of Fractions 5233/210,8492/6231 is 1/436170

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

Greatest Common Factor of 5233,8492 By Matching Biggest Common Factor Method

Greatest Common Factor of 5233,8492 By Matching Biggest Common Factor Method

Factors of 5233

List of positive integer factors of 5233 that divides 5233 without a remainder.

1,5233

Factors of 8492

List of positive integer factors of 8492 that divides 8492 without a remainder.

1,2,4,11,22,44,193,386,772,2123,4246,8492

Greatest Common Factor

We found the factors 5233,8492 . The biggest common factor number is the GCF number.
So the greatest common factor 5233,8492 is 1.

Lets's calculate LCM of 210,6231

3 210, 6231
70, 2077

∴ So the LCM of the given numbers is 3 x 70 x 2077 = 436170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/436170

Therefore, the GCF of Fractions 5233/210,8492/6231 is 1/436170

Least Common Multiple of 210,6231 with GCF Formula

Least Common Multiple of 210,6231 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 210,6231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,6231) = 3

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

GCF(210,6231) x common factors =3 x 1 = 3

LCM(210,6231) = ( 210 × 6231 ) / 3

LCM(210,6231) = 1308510 / 3

LCM(210,6231) = 436170


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 5233/210, 8492/6231

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 5233/210, 8492/6231?

Answer: GCF of Numerators as per given numbers 5233/210, 8492/6231 is

GCF of Numerators i.e. for 5233,8492 is 1

LCM of denominators i.e. for 210,6231 is 436170.

Thus, GCF of Fractions is 1/436170.Finally, GCF of Fractions for 5233/210, 8492/6231 is 1/436170.