Greatest Common Factor of 9871/231, 3217/1205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9871/231, 3217/1205

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 9871/231,3217/1205

Given fractions are 9871/231,3217/1205

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 9871,3217

Greatest Common Factor of Numerators i.e. GCF of 9871,3217 is 1 .

LCM of Denominators means LCM of 231,1205 as per the given fractions.

LCM of 231,1205 is 278355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9871,3217

GCF of Fractions 9871/231,3217/1205 is 1/278355

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

Greatest Common Factor of 9871,3217 By Matching Biggest Common Factor Method

Greatest Common Factor of 9871,3217 By Matching Biggest Common Factor Method

Factors of 9871

List of positive integer factors of 9871 that divides 9871 without a remainder.

1,9871

Factors of 3217

List of positive integer factors of 3217 that divides 3217 without a remainder.

1,3217

Greatest Common Factor

We found the factors 9871,3217 . The biggest common factor number is the GCF number.
So the greatest common factor 9871,3217 is 1.

Lets's calculate LCM of 231,1205

Given numbers has no common factors except 1. So, there LCM is their product i.e 278355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278355

Therefore, the GCF of Fractions 9871/231,3217/1205 is 1/278355

Least Common Multiple of 231,1205 with GCF Formula

Least Common Multiple of 231,1205 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 231,1205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,1205) = 1

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

GCF(231,1205) x common factors =1 x 1 = 1

LCM(231,1205) = ( 231 × 1205 ) / 1

LCM(231,1205) = 278355 / 1

LCM(231,1205) = 278355


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 9871/231, 3217/1205

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 9871/231, 3217/1205?

Answer: GCF of Numerators as per given numbers 9871/231, 3217/1205 is

GCF of Numerators i.e. for 9871,3217 is 1

LCM of denominators i.e. for 231,1205 is 278355.

Thus, GCF of Fractions is 1/278355.Finally, GCF of Fractions for 9871/231, 3217/1205 is 1/278355.