GCD of 563, 650, 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 563, 650, 74 i.e. 1 largest integer that divides all the numbers equally.

GCD of 563, 650, 74 is 1

GCD(563, 650, 74) = 1

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

GCD of

GCD of numbers 563, 650, 74 is 1

GCD(563, 650, 74) = 1

GCD of 563,650,74 Calculator

GCDof 563,650,74 is 1

Given Input numbers are 563, 650, 74

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

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

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 563, 650, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 650, 74 is 1.

Therefore, GCD of numbers 563, 650, 74 is 1

Finding GCD of 563, 650, 74 using Prime Factorization

Given Input Data is 563, 650, 74

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

Prime Factorization of 563 is 563

Prime Factorization of 650 is 2 x 5 x 5 x 13

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 563, 650, 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(563, 650) = 365950

GCD(563, 650) = ( 563 x 650 ) / 365950

GCD(563, 650) = 365950 / 365950

GCD(563, 650) = 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 563, 650, 74 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 563, 650, 74

1. What is the GCD of 563, 650, 74?

GCD of 563, 650, 74 is 1


2. Where do I get the detailed procedure to find GCD of 563, 650, 74?

You can find a detailed procedure to find GCD of 563, 650, 74 on our page.


3. How to find GCD of 563, 650, 74 on a calculator?

You can find the GCD of 563, 650, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.