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 693, 585, 63, 151 i.e. 1 largest integer that divides all the numbers equally.
GCD of 693, 585, 63, 151 is 1
GCD(693, 585, 63, 151) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 693, 585, 63, 151 is 1
GCD(693, 585, 63, 151) = 1
Given Input numbers are 693, 585, 63, 151
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Greatest Common Divisior
We found the divisors of 693, 585, 63, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 585, 63, 151 is 1.
Therefore, GCD of numbers 693, 585, 63, 151 is 1
Given Input Data is 693, 585, 63, 151
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 151 is 151
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(693, 585) = 45045
GCD(693, 585) = ( 693 x 585 ) / 45045
GCD(693, 585) = 405405 / 45045
GCD(693, 585) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 63) = 63
GCD(9, 63) = ( 9 x 63 ) / 63
GCD(9, 63) = 567 / 63
GCD(9, 63) = 9
Step3:
Here we consider the GCD from the above i.e. 9 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 151) = 1359
GCD(9, 151) = ( 9 x 151 ) / 1359
GCD(9, 151) = 1359 / 1359
GCD(9, 151) = 1
GCD of 693, 585, 63, 151 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 693, 585, 63, 151?
GCD of 693, 585, 63, 151 is 1
2. Where do I get the detailed procedure to find GCD of 693, 585, 63, 151?
You can find a detailed procedure to find GCD of 693, 585, 63, 151 on our page.
3. How to find GCD of 693, 585, 63, 151 on a calculator?
You can find the GCD of 693, 585, 63, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.