Greatest Common Factor of 3281/92, 1489/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3281/92, 1489/997

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 3281/92,1489/997

Given fractions are 3281/92,1489/997

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 3281,1489

Greatest Common Factor of Numerators i.e. GCF of 3281,1489 is 1 .

LCM of Denominators means LCM of 92,997 as per the given fractions.

LCM of 92,997 is 91724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3281,1489

GCF of Fractions 3281/92,1489/997 is 1/91724

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

Greatest Common Factor of 3281,1489 By Matching Biggest Common Factor Method

Greatest Common Factor of 3281,1489 By Matching Biggest Common Factor Method

Factors of 3281

List of positive integer factors of 3281 that divides 3281 without a remainder.

1,17,193,3281

Factors of 1489

List of positive integer factors of 1489 that divides 1489 without a remainder.

1,1489

Greatest Common Factor

We found the factors 3281,1489 . The biggest common factor number is the GCF number.
So the greatest common factor 3281,1489 is 1.

Lets's calculate LCM of 92,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 91724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91724

Therefore, the GCF of Fractions 3281/92,1489/997 is 1/91724

Least Common Multiple of 92,997 with GCF Formula

Least Common Multiple of 92,997 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 92,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,997) = 1

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

GCF(92,997) x common factors =1 x 1 = 1

LCM(92,997) = ( 92 × 997 ) / 1

LCM(92,997) = 91724 / 1

LCM(92,997) = 91724


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 3281/92, 1489/997

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 3281/92, 1489/997?

Answer: GCF of Numerators as per given numbers 3281/92, 1489/997 is

GCF of Numerators i.e. for 3281,1489 is 1

LCM of denominators i.e. for 92,997 is 91724.

Thus, GCF of Fractions is 1/91724.Finally, GCF of Fractions for 3281/92, 1489/997 is 1/91724.