GCD of 389, 562, 74 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 389, 562, 74 i.e. 1 largest integer that divides all the numbers equally.

GCD of 389, 562, 74 is 1

GCD(389, 562, 74) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 389, 562, 74 is 1

GCD(389, 562, 74) = 1

GCD of 389,562,74 Calculator

GCDof 389,562,74 is 1

Given Input numbers are 389, 562, 74

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 389, 562, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 562, 74 is 1.

Therefore, GCD of numbers 389, 562, 74 is 1

Finding GCD of 389, 562, 74 using Prime Factorization

Given Input Data is 389, 562, 74

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 389 is 389

Prime Factorization of 562 is 2 x 281

Prime Factorization of 74 is 2 x 37

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 389, 562, 74 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(389, 562) = 218618

GCD(389, 562) = ( 389 x 562 ) / 218618

GCD(389, 562) = 218618 / 218618

GCD(389, 562) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

GCD of 389, 562, 74 is 1

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FAQs on GCD of numbers 389, 562, 74

1. What is the GCD of 389, 562, 74?

GCD of 389, 562, 74 is 1

2. Where do I get the detailed procedure to find GCD of 389, 562, 74?

You can find a detailed procedure to find GCD of 389, 562, 74 on our page.

3. How to find GCD of 389, 562, 74 on a calculator?

You can find the GCD of 389, 562, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.