Greatest Common Factor of 493/221, 1462/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 493/221, 1462/364

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 493/221,1462/364

Given fractions are 493/221,1462/364

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 493,1462

Greatest Common Factor of Numerators i.e. GCF of 493,1462 is 17 .

LCM of Denominators means LCM of 221,364 as per the given fractions.

LCM of 221,364 is 6188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 493,1462

GCF of Fractions 493/221,1462/364 is 17/6188

17 493, 1462
29, 86

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 493,1462 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,1462 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 1462

List of positive integer factors of 1462 that divides 1462 without a remainder.

1,2,17,34,43,86,731,1462

Greatest Common Factor

We found the factors 493,1462 . The biggest common factor number is the GCF number.
So the greatest common factor 493,1462 is 17.

Lets's calculate LCM of 221,364

13 221, 364
17, 28

∴ So the LCM of the given numbers is 13 x 17 x 28 = 6188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/6188

Therefore, the GCF of Fractions 493/221,1462/364 is 17/6188

Least Common Multiple of 221,364 with GCF Formula

Least Common Multiple of 221,364 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 221,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,364) = 13

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

GCF(221,364) x common factors =13 x 1 = 13

LCM(221,364) = ( 221 × 364 ) / 13

LCM(221,364) = 80444 / 13

LCM(221,364) = 6188


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 493/221, 1462/364

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 493/221, 1462/364?

Answer: GCF of Numerators as per given numbers 493/221, 1462/364 is

GCF of Numerators i.e. for 493,1462 is 17

LCM of denominators i.e. for 221,364 is 6188.

Thus, GCF of Fractions is 17/6188.Finally, GCF of Fractions for 493/221, 1462/364 is 17/6188.