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 60, 201, 638, 535 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 201, 638, 535 is 1
GCD(60, 201, 638, 535) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 201, 638, 535 is 1
GCD(60, 201, 638, 535) = 1
Given Input numbers are 60, 201, 638, 535
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Greatest Common Divisior
We found the divisors of 60, 201, 638, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 201, 638, 535 is 1.
Therefore, GCD of numbers 60, 201, 638, 535 is 1
Given Input Data is 60, 201, 638, 535
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 201 is 3 x 67
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 535 is 5 x 107
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(60, 201) = 4020
GCD(60, 201) = ( 60 x 201 ) / 4020
GCD(60, 201) = 12060 / 4020
GCD(60, 201) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 638
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 638) = 1914
GCD(3, 638) = ( 3 x 638 ) / 1914
GCD(3, 638) = 1914 / 1914
GCD(3, 638) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 535) = 535
GCD(1, 535) = ( 1 x 535 ) / 535
GCD(1, 535) = 535 / 535
GCD(1, 535) = 1
GCD of 60, 201, 638, 535 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 201, 638, 535?
GCD of 60, 201, 638, 535 is 1
2. Where do I get the detailed procedure to find GCD of 60, 201, 638, 535?
You can find a detailed procedure to find GCD of 60, 201, 638, 535 on our page.
3. How to find GCD of 60, 201, 638, 535 on a calculator?
You can find the GCD of 60, 201, 638, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.