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 562, 232, 52, 653 i.e. 1 largest integer that divides all the numbers equally.
GCD of 562, 232, 52, 653 is 1
GCD(562, 232, 52, 653) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 562, 232, 52, 653 is 1
GCD(562, 232, 52, 653) = 1
Given Input numbers are 562, 232, 52, 653
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Greatest Common Divisior
We found the divisors of 562, 232, 52, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 232, 52, 653 is 1.
Therefore, GCD of numbers 562, 232, 52, 653 is 1
Given Input Data is 562, 232, 52, 653
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 562 is 2 x 281
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 653 is 653
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(562, 232) = 65192
GCD(562, 232) = ( 562 x 232 ) / 65192
GCD(562, 232) = 130384 / 65192
GCD(562, 232) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 52) = 52
GCD(2, 52) = ( 2 x 52 ) / 52
GCD(2, 52) = 104 / 52
GCD(2, 52) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 653) = 1306
GCD(2, 653) = ( 2 x 653 ) / 1306
GCD(2, 653) = 1306 / 1306
GCD(2, 653) = 1
GCD of 562, 232, 52, 653 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 562, 232, 52, 653?
GCD of 562, 232, 52, 653 is 1
2. Where do I get the detailed procedure to find GCD of 562, 232, 52, 653?
You can find a detailed procedure to find GCD of 562, 232, 52, 653 on our page.
3. How to find GCD of 562, 232, 52, 653 on a calculator?
You can find the GCD of 562, 232, 52, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.