Online GCD Calculator is useful to find the GCD of 369, 582, 523, 220 quickly. Get the easiest ways to solve the greatest common divisor of 369, 582, 523, 220 i.e 1 in different methods as follows.
Given Input numbers are 369, 582, 523, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 523 :
The positive integer divisors of 523 that completely divides 523 are.
1, 523
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (369, 582, 523, 220) = 1.
Given numbers are 369, 582, 523, 220
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 582 are 2 x 3 x 97
Prime factors of 523 are 523
Prime factors of 220 are 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 369, 582, 523, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 582) = 71586
GCD(369, 582) = ( 369 x 582 ) / 71586
= 369 / 582
= 369
Step2:
LCM(3, 523) = 1569
GCD(3, 523) = ( 3 x 523 ) / 1569
= 3 / 523
= 3
Step3:
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
= 1 / 220
= 1
So, Greatest Common Divisor of 369, 582, 523, 220 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 369, 582, 523, 220
The greatest common divisor of numbers 369, 582, 523, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 582, 523, 220 is 1.
1. What is the GCD of 369, 582, 523, 220?
GCD of given numbers 369, 582, 523, 220 is 1
2. How to calculate the greatest common divisor of 369, 582, 523, 220?
We can find the highest common divisor of 369, 582, 523, 220 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 369, 582, 523, 220 i.e 1.
3. How can I use the GCD of 369, 582, 523, 220Calculator?
Out the numbers 369, 582, 523, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.