Greatest Common Factor of 247/817, 5161/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 247/817, 5161/321

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 247/817,5161/321

Given fractions are 247/817,5161/321

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 247,5161

Greatest Common Factor of Numerators i.e. GCF of 247,5161 is 13 .

LCM of Denominators means LCM of 817,321 as per the given fractions.

LCM of 817,321 is 262257 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 247,5161

GCF of Fractions 247/817,5161/321 is 13/262257

13 247, 5161
19, 397

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 247,5161 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,5161 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 5161

List of positive integer factors of 5161 that divides 5161 without a remainder.

1,13,397,5161

Greatest Common Factor

We found the factors 247,5161 . The biggest common factor number is the GCF number.
So the greatest common factor 247,5161 is 13.

Lets's calculate LCM of 817,321

Given numbers has no common factors except 1. So, there LCM is their product i.e 262257

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/262257

Therefore, the GCF of Fractions 247/817,5161/321 is 13/262257

Least Common Multiple of 817,321 with GCF Formula

Least Common Multiple of 817,321 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 817,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,321) = 1

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

GCF(817,321) x common factors =1 x 1 = 1

LCM(817,321) = ( 817 × 321 ) / 1

LCM(817,321) = 262257 / 1

LCM(817,321) = 262257


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 247/817, 5161/321

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 247/817, 5161/321?

Answer: GCF of Numerators as per given numbers 247/817, 5161/321 is

GCF of Numerators i.e. for 247,5161 is 13

LCM of denominators i.e. for 817,321 is 262257.

Thus, GCF of Fractions is 13/262257.Finally, GCF of Fractions for 247/817, 5161/321 is 13/262257.