Greatest Common Factor of 1586/201, 7345/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1586/201, 7345/498

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 1586/201,7345/498

Given fractions are 1586/201,7345/498

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 1586,7345

Greatest Common Factor of Numerators i.e. GCF of 1586,7345 is 13 .

LCM of Denominators means LCM of 201,498 as per the given fractions.

LCM of 201,498 is 33366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1586,7345

GCF of Fractions 1586/201,7345/498 is 13/33366

13 1586, 7345
122, 565

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

Greatest Common Factor of 1586,7345 By Matching Biggest Common Factor Method

Greatest Common Factor of 1586,7345 By Matching Biggest Common Factor Method

Factors of 1586

List of positive integer factors of 1586 that divides 1586 without a remainder.

1,2,13,26,61,122,793,1586

Factors of 7345

List of positive integer factors of 7345 that divides 7345 without a remainder.

1,5,13,65,113,565,1469,7345

Greatest Common Factor

We found the factors 1586,7345 . The biggest common factor number is the GCF number.
So the greatest common factor 1586,7345 is 13.

Lets's calculate LCM of 201,498

3 201, 498
67, 166

∴ So the LCM of the given numbers is 3 x 67 x 166 = 33366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/33366

Therefore, the GCF of Fractions 1586/201,7345/498 is 13/33366

Least Common Multiple of 201,498 with GCF Formula

Least Common Multiple of 201,498 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 201,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,498) = 3

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

GCF(201,498) x common factors =3 x 1 = 3

LCM(201,498) = ( 201 × 498 ) / 3

LCM(201,498) = 100098 / 3

LCM(201,498) = 33366


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 1586/201, 7345/498

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 1586/201, 7345/498?

Answer: GCF of Numerators as per given numbers 1586/201, 7345/498 is

GCF of Numerators i.e. for 1586,7345 is 13

LCM of denominators i.e. for 201,498 is 33366.

Thus, GCF of Fractions is 13/33366.Finally, GCF of Fractions for 1586/201, 7345/498 is 13/33366.