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, 325, 514, 206 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 325, 514, 206 is 1
GCD(552, 325, 514, 206) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 325, 514, 206 is 1
GCD(552, 325, 514, 206) = 1
Given Input numbers are 552, 325, 514, 206
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 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Greatest Common Divisior
We found the divisors of 552, 325, 514, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 325, 514, 206 is 1.
Therefore, GCD of numbers 552, 325, 514, 206 is 1
Given Input Data is 552, 325, 514, 206
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 325 is 5 x 5 x 13
Prime Factorization of 514 is 2 x 257
Prime Factorization of 206 is 2 x 103
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, 325) = 179400
GCD(552, 325) = ( 552 x 325 ) / 179400
GCD(552, 325) = 179400 / 179400
GCD(552, 325) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 514
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 514) = 514
GCD(1, 514) = ( 1 x 514 ) / 514
GCD(1, 514) = 514 / 514
GCD(1, 514) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 206
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 206) = 206
GCD(1, 206) = ( 1 x 206 ) / 206
GCD(1, 206) = 206 / 206
GCD(1, 206) = 1
GCD of 552, 325, 514, 206 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 325, 514, 206?
GCD of 552, 325, 514, 206 is 1
2. Where do I get the detailed procedure to find GCD of 552, 325, 514, 206?
You can find a detailed procedure to find GCD of 552, 325, 514, 206 on our page.
3. How to find GCD of 552, 325, 514, 206 on a calculator?
You can find the GCD of 552, 325, 514, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.