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 201, 406, 770, 744 i.e. 1 largest integer that divides all the numbers equally.
GCD of 201, 406, 770, 744 is 1
GCD(201, 406, 770, 744) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 201, 406, 770, 744 is 1
GCD(201, 406, 770, 744) = 1
Given Input numbers are 201, 406, 770, 744
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Greatest Common Divisior
We found the divisors of 201, 406, 770, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 406, 770, 744 is 1.
Therefore, GCD of numbers 201, 406, 770, 744 is 1
Given Input Data is 201, 406, 770, 744
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 201 is 3 x 67
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
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(201, 406) = 81606
GCD(201, 406) = ( 201 x 406 ) / 81606
GCD(201, 406) = 81606 / 81606
GCD(201, 406) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 744
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 744) = 744
GCD(1, 744) = ( 1 x 744 ) / 744
GCD(1, 744) = 744 / 744
GCD(1, 744) = 1
GCD of 201, 406, 770, 744 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 201, 406, 770, 744?
GCD of 201, 406, 770, 744 is 1
2. Where do I get the detailed procedure to find GCD of 201, 406, 770, 744?
You can find a detailed procedure to find GCD of 201, 406, 770, 744 on our page.
3. How to find GCD of 201, 406, 770, 744 on a calculator?
You can find the GCD of 201, 406, 770, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.