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 552, 591, 78, 682 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 591, 78, 682 is 1
GCD(552, 591, 78, 682) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 591, 78, 682 is 1
GCD(552, 591, 78, 682) = 1
Given Input numbers are 552, 591, 78, 682
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Greatest Common Divisior
We found the divisors of 552, 591, 78, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 591, 78, 682 is 1.
Therefore, GCD of numbers 552, 591, 78, 682 is 1
Given Input Data is 552, 591, 78, 682
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 591 is 3 x 197
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 682 is 2 x 11 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(552, 591) = 108744
GCD(552, 591) = ( 552 x 591 ) / 108744
GCD(552, 591) = 326232 / 108744
GCD(552, 591) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 78) = 78
GCD(3, 78) = ( 3 x 78 ) / 78
GCD(3, 78) = 234 / 78
GCD(3, 78) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 682) = 2046
GCD(3, 682) = ( 3 x 682 ) / 2046
GCD(3, 682) = 2046 / 2046
GCD(3, 682) = 1
GCD of 552, 591, 78, 682 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 591, 78, 682?
GCD of 552, 591, 78, 682 is 1
2. Where do I get the detailed procedure to find GCD of 552, 591, 78, 682?
You can find a detailed procedure to find GCD of 552, 591, 78, 682 on our page.
3. How to find GCD of 552, 591, 78, 682 on a calculator?
You can find the GCD of 552, 591, 78, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.