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 564, 453, 136, 616 i.e. 1 largest integer that divides all the numbers equally.
GCD of 564, 453, 136, 616 is 1
GCD(564, 453, 136, 616) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 564, 453, 136, 616 is 1
GCD(564, 453, 136, 616) = 1
Given Input numbers are 564, 453, 136, 616
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Greatest Common Divisior
We found the divisors of 564, 453, 136, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 453, 136, 616 is 1.
Therefore, GCD of numbers 564, 453, 136, 616 is 1
Given Input Data is 564, 453, 136, 616
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 453 is 3 x 151
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
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(564, 453) = 85164
GCD(564, 453) = ( 564 x 453 ) / 85164
GCD(564, 453) = 255492 / 85164
GCD(564, 453) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 136) = 408
GCD(3, 136) = ( 3 x 136 ) / 408
GCD(3, 136) = 408 / 408
GCD(3, 136) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
GCD(1, 616) = 616 / 616
GCD(1, 616) = 1
GCD of 564, 453, 136, 616 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 564, 453, 136, 616?
GCD of 564, 453, 136, 616 is 1
2. Where do I get the detailed procedure to find GCD of 564, 453, 136, 616?
You can find a detailed procedure to find GCD of 564, 453, 136, 616 on our page.
3. How to find GCD of 564, 453, 136, 616 on a calculator?
You can find the GCD of 564, 453, 136, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.