GCD of 767, 609, 201, 200 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 767, 609, 201, 200 i.e. 1 largest integer that divides all the numbers equally.

GCD of 767, 609, 201, 200 is 1

GCD(767, 609, 201, 200) = 1

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

GCD of

GCD of numbers 767, 609, 201, 200 is 1

GCD(767, 609, 201, 200) = 1

GCD of 767,609,201,200 Calculator

GCDof 767,609,201,200 is 1

Given Input numbers are 767, 609, 201, 200

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 767, 609, 201, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 609, 201, 200 is 1.

Therefore, GCD of numbers 767, 609, 201, 200 is 1

Finding GCD of 767, 609, 201, 200 using Prime Factorization

Given Input Data is 767, 609, 201, 200

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 201 is 3 x 67

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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

Finding GCD of 767, 609, 201, 200 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(767, 609) = 467103

GCD(767, 609) = ( 767 x 609 ) / 467103

GCD(767, 609) = 467103 / 467103

GCD(767, 609) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 201

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

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

GCD(1, 201) = 201 / 201

GCD(1, 201) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 767, 609, 201, 200 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 767, 609, 201, 200

1. What is the GCD of 767, 609, 201, 200?

GCD of 767, 609, 201, 200 is 1


2. Where do I get the detailed procedure to find GCD of 767, 609, 201, 200?

You can find a detailed procedure to find GCD of 767, 609, 201, 200 on our page.


3. How to find GCD of 767, 609, 201, 200 on a calculator?

You can find the GCD of 767, 609, 201, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.