Greatest Common Factor of 2017/493, 9062/9588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2017/493, 9062/9588

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 2017/493,9062/9588

Given fractions are 2017/493,9062/9588

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 2017,9062

Greatest Common Factor of Numerators i.e. GCF of 2017,9062 is 1 .

LCM of Denominators means LCM of 493,9588 as per the given fractions.

LCM of 493,9588 is 278052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2017,9062

GCF of Fractions 2017/493,9062/9588 is 1/278052

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

Greatest Common Factor of 2017,9062 By Matching Biggest Common Factor Method

Greatest Common Factor of 2017,9062 By Matching Biggest Common Factor Method

Factors of 2017

List of positive integer factors of 2017 that divides 2017 without a remainder.

1,2017

Factors of 9062

List of positive integer factors of 9062 that divides 9062 without a remainder.

1,2,23,46,197,394,4531,9062

Greatest Common Factor

We found the factors 2017,9062 . The biggest common factor number is the GCF number.
So the greatest common factor 2017,9062 is 1.

Lets's calculate LCM of 493,9588

17 493, 9588
29, 564

∴ So the LCM of the given numbers is 17 x 29 x 564 = 278052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278052

Therefore, the GCF of Fractions 2017/493,9062/9588 is 1/278052

Least Common Multiple of 493,9588 with GCF Formula

Least Common Multiple of 493,9588 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 493,9588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,9588) = 17

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

GCF(493,9588) x common factors =17 x 1 = 17

LCM(493,9588) = ( 493 × 9588 ) / 17

LCM(493,9588) = 4726884 / 17

LCM(493,9588) = 278052


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 2017/493, 9062/9588

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 2017/493, 9062/9588?

Answer: GCF of Numerators as per given numbers 2017/493, 9062/9588 is

GCF of Numerators i.e. for 2017,9062 is 1

LCM of denominators i.e. for 493,9588 is 278052.

Thus, GCF of Fractions is 1/278052.Finally, GCF of Fractions for 2017/493, 9062/9588 is 1/278052.