GCD of 596, 488, 365, 505 Calculator

Given Input numbers are 596, 488, 365, 505

In the factoring method, we have to find the divisors of all numbers

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

GCD of numbers is the greatest common divisor

So, the GCD (596, 488, 365, 505) = 1.

Given numbers are 596, 488, 365, 505

The list of prime factors of all numbers are

Prime factors of 596 are 2 x 2 x 149

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 365 are 5 x 73

Prime factors of 505 are 5 x 101

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 596, 488, 365, 505

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(596, 488) = 72712

GCD(596, 488) = ( 596 x 488 ) / 72712

= 596 / 488

= 596

Step2:

LCM(4, 365) = 1460

GCD(4, 365) = ( 4 x 365 ) / 1460

= 4 / 365

= 4

Step3:

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

= 1 / 505

= 1

So, Greatest Common Divisor of 596, 488, 365, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 966, 561, 901
• GCD of 523, 753, 491, 179
• GCD of 694, 467, 338, 682
• GCD of 604, 886, 284, 418
• GCD of 953, 191, 743, 368

Given numbers are 596, 488, 365, 505
The greatest common divisor of numbers 596, 488, 365, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 596, 488, 365, 505 is 1.

1. What is the GCD of 596, 488, 365, 505?

GCD of given numbers 596, 488, 365, 505 is 1

2. How to calculate the greatest common divisor of 596, 488, 365, 505?

We can find the highest common divisor of 596, 488, 365, 505 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 596, 488, 365, 505 i.e 1.

3. How can I use the GCD of 596, 488, 365, 505Calculator?

Out the numbers 596, 488, 365, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.