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 364, 501, 83, 736 i.e. 1 largest integer that divides all the numbers equally.
GCD of 364, 501, 83, 736 is 1
GCD(364, 501, 83, 736) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 364, 501, 83, 736 is 1
GCD(364, 501, 83, 736) = 1
Given Input numbers are 364, 501, 83, 736
To find the GCD of numbers using factoring list out all the divisors of each number
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 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Greatest Common Divisior
We found the divisors of 364, 501, 83, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 501, 83, 736 is 1.
Therefore, GCD of numbers 364, 501, 83, 736 is 1
Given Input Data is 364, 501, 83, 736
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 501 is 3 x 167
Prime Factorization of 83 is 83
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
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(364, 501) = 182364
GCD(364, 501) = ( 364 x 501 ) / 182364
GCD(364, 501) = 182364 / 182364
GCD(364, 501) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
GCD(1, 83) = 83 / 83
GCD(1, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
GCD of 364, 501, 83, 736 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 364, 501, 83, 736?
GCD of 364, 501, 83, 736 is 1
2. Where do I get the detailed procedure to find GCD of 364, 501, 83, 736?
You can find a detailed procedure to find GCD of 364, 501, 83, 736 on our page.
3. How to find GCD of 364, 501, 83, 736 on a calculator?
You can find the GCD of 364, 501, 83, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.