GCD of 736, 364, 723, 585 Calculator

Given Input numbers are 736, 364, 723, 585

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

GCD of numbers is the greatest common divisor

So, the GCD (736, 364, 723, 585) = 1.

Given numbers are 736, 364, 723, 585

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 723 are 3 x 241

Prime factors of 585 are 3 x 3 x 5 x 13

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

Given numbers are 736, 364, 723, 585

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

Apply this formula for all numbers.

Step1:

LCM(736, 364) = 66976

GCD(736, 364) = ( 736 x 364 ) / 66976

= 736 / 364

= 736

Step2:

LCM(4, 723) = 2892

GCD(4, 723) = ( 4 x 723 ) / 2892

= 4 / 723

= 4

Step3:

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

= 1 / 585

= 1

So, Greatest Common Divisor of 736, 364, 723, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 213, 668, 234
• GCD of 216, 963, 460, 117
• GCD of 316, 562, 949, 641
• GCD of 746, 283, 552, 837
• GCD of 837, 772, 975, 583

Given numbers are 736, 364, 723, 585
The greatest common divisor of numbers 736, 364, 723, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 364, 723, 585 is 1.

1. What is the GCD of 736, 364, 723, 585?

GCD of given numbers 736, 364, 723, 585 is 1

2. How to calculate the greatest common divisor of 736, 364, 723, 585?

We can find the highest common divisor of 736, 364, 723, 585 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 736, 364, 723, 585 i.e 1.

3. How can I use the GCD of 736, 364, 723, 585Calculator?

Out the numbers 736, 364, 723, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.