GCD of 493, 721, 564, 365 Calculator

Given Input numbers are 493, 721, 564, 365

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 365 :

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

1, 5, 73, 365

GCD of numbers is the greatest common divisor

So, the GCD (493, 721, 564, 365) = 1.

Given numbers are 493, 721, 564, 365

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 721 are 7 x 103

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 365 are 5 x 73

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

Given numbers are 493, 721, 564, 365

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

Apply this formula for all numbers.

Step1:

LCM(493, 721) = 355453

GCD(493, 721) = ( 493 x 721 ) / 355453

= 493 / 721

= 493

Step2:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

Step3:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1

So, Greatest Common Divisor of 493, 721, 564, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 974, 275, 799
• GCD of 601, 678, 600, 708
• GCD of 421, 185, 271, 864
• GCD of 417, 446, 884, 424
• GCD of 520, 382, 137, 970

Given numbers are 493, 721, 564, 365
The greatest common divisor of numbers 493, 721, 564, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 721, 564, 365 is 1.

1. What is the GCD of 493, 721, 564, 365?

GCD of given numbers 493, 721, 564, 365 is 1

2. How to calculate the greatest common divisor of 493, 721, 564, 365?

We can find the highest common divisor of 493, 721, 564, 365 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 493, 721, 564, 365 i.e 1.

3. How can I use the GCD of 493, 721, 564, 365Calculator?

Out the numbers 493, 721, 564, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.