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 155, 744, 364, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 155, 744, 364, 567 is 1
GCD(155, 744, 364, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 155, 744, 364, 567 is 1
GCD(155, 744, 364, 567) = 1
Given Input numbers are 155, 744, 364, 567
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
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
Greatest Common Divisior
We found the divisors of 155, 744, 364, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 155, 744, 364, 567 is 1.
Therefore, GCD of numbers 155, 744, 364, 567 is 1
Given Input Data is 155, 744, 364, 567
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 155 is 5 x 31
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
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(155, 744) = 3720
GCD(155, 744) = ( 155 x 744 ) / 3720
GCD(155, 744) = 115320 / 3720
GCD(155, 744) = 31
Step2:
Here we consider the GCD from the above i.e. 31 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(31, 364) = 11284
GCD(31, 364) = ( 31 x 364 ) / 11284
GCD(31, 364) = 11284 / 11284
GCD(31, 364) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
GCD of 155, 744, 364, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 155, 744, 364, 567?
GCD of 155, 744, 364, 567 is 1
2. Where do I get the detailed procedure to find GCD of 155, 744, 364, 567?
You can find a detailed procedure to find GCD of 155, 744, 364, 567 on our page.
3. How to find GCD of 155, 744, 364, 567 on a calculator?
You can find the GCD of 155, 744, 364, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.