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 576, 201, 86, 694 i.e. 1 largest integer that divides all the numbers equally.
GCD of 576, 201, 86, 694 is 1
GCD(576, 201, 86, 694) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 576, 201, 86, 694 is 1
GCD(576, 201, 86, 694) = 1
Given Input numbers are 576, 201, 86, 694
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Greatest Common Divisior
We found the divisors of 576, 201, 86, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 201, 86, 694 is 1.
Therefore, GCD of numbers 576, 201, 86, 694 is 1
Given Input Data is 576, 201, 86, 694
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 201 is 3 x 67
Prime Factorization of 86 is 2 x 43
Prime Factorization of 694 is 2 x 347
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(576, 201) = 38592
GCD(576, 201) = ( 576 x 201 ) / 38592
GCD(576, 201) = 115776 / 38592
GCD(576, 201) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 86) = 258
GCD(3, 86) = ( 3 x 86 ) / 258
GCD(3, 86) = 258 / 258
GCD(3, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 694
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 694) = 694
GCD(1, 694) = ( 1 x 694 ) / 694
GCD(1, 694) = 694 / 694
GCD(1, 694) = 1
GCD of 576, 201, 86, 694 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 576, 201, 86, 694?
GCD of 576, 201, 86, 694 is 1
2. Where do I get the detailed procedure to find GCD of 576, 201, 86, 694?
You can find a detailed procedure to find GCD of 576, 201, 86, 694 on our page.
3. How to find GCD of 576, 201, 86, 694 on a calculator?
You can find the GCD of 576, 201, 86, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.