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 72, 566, 377, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 566, 377, 153 is 1
GCD(72, 566, 377, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 566, 377, 153 is 1
GCD(72, 566, 377, 153) = 1
Given Input numbers are 72, 566, 377, 153
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 72, 566, 377, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 566, 377, 153 is 1.
Therefore, GCD of numbers 72, 566, 377, 153 is 1
Given Input Data is 72, 566, 377, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 566 is 2 x 283
Prime Factorization of 377 is 13 x 29
Prime Factorization of 153 is 3 x 3 x 17
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(72, 566) = 20376
GCD(72, 566) = ( 72 x 566 ) / 20376
GCD(72, 566) = 40752 / 20376
GCD(72, 566) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 377) = 754
GCD(2, 377) = ( 2 x 377 ) / 754
GCD(2, 377) = 754 / 754
GCD(2, 377) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
GCD of 72, 566, 377, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 566, 377, 153?
GCD of 72, 566, 377, 153 is 1
2. Where do I get the detailed procedure to find GCD of 72, 566, 377, 153?
You can find a detailed procedure to find GCD of 72, 566, 377, 153 on our page.
3. How to find GCD of 72, 566, 377, 153 on a calculator?
You can find the GCD of 72, 566, 377, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.