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 numbers 767, 609, 201, 200 is 1
GCD(767, 609, 201, 200) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.