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 567, 147, 72, 503 i.e. 1 largest integer that divides all the numbers equally.
GCD of 567, 147, 72, 503 is 1
GCD(567, 147, 72, 503) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 567, 147, 72, 503 is 1
GCD(567, 147, 72, 503) = 1
Given Input numbers are 567, 147, 72, 503
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
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 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Greatest Common Divisior
We found the divisors of 567, 147, 72, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 147, 72, 503 is 1.
Therefore, GCD of numbers 567, 147, 72, 503 is 1
Given Input Data is 567, 147, 72, 503
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 503 is 503
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(567, 147) = 3969
GCD(567, 147) = ( 567 x 147 ) / 3969
GCD(567, 147) = 83349 / 3969
GCD(567, 147) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 72) = 504
GCD(21, 72) = ( 21 x 72 ) / 504
GCD(21, 72) = 1512 / 504
GCD(21, 72) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 503) = 1509
GCD(3, 503) = ( 3 x 503 ) / 1509
GCD(3, 503) = 1509 / 1509
GCD(3, 503) = 1
GCD of 567, 147, 72, 503 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 567, 147, 72, 503?
GCD of 567, 147, 72, 503 is 1
2. Where do I get the detailed procedure to find GCD of 567, 147, 72, 503?
You can find a detailed procedure to find GCD of 567, 147, 72, 503 on our page.
3. How to find GCD of 567, 147, 72, 503 on a calculator?
You can find the GCD of 567, 147, 72, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.