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, 746, 524, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 567, 746, 524, 536 is 1
GCD(567, 746, 524, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 567, 746, 524, 536 is 1
GCD(567, 746, 524, 536) = 1
Given Input numbers are 567, 746, 524, 536
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 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 567, 746, 524, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 746, 524, 536 is 1.
Therefore, GCD of numbers 567, 746, 524, 536 is 1
Given Input Data is 567, 746, 524, 536
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 746 is 2 x 373
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 536 is 2 x 2 x 2 x 67
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, 746) = 422982
GCD(567, 746) = ( 567 x 746 ) / 422982
GCD(567, 746) = 422982 / 422982
GCD(567, 746) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 524
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 524) = 524
GCD(1, 524) = ( 1 x 524 ) / 524
GCD(1, 524) = 524 / 524
GCD(1, 524) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
GCD(1, 536) = 536 / 536
GCD(1, 536) = 1
GCD of 567, 746, 524, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 567, 746, 524, 536?
GCD of 567, 746, 524, 536 is 1
2. Where do I get the detailed procedure to find GCD of 567, 746, 524, 536?
You can find a detailed procedure to find GCD of 567, 746, 524, 536 on our page.
3. How to find GCD of 567, 746, 524, 536 on a calculator?
You can find the GCD of 567, 746, 524, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.