GCD of 736, 264, 35, 585 Calculator

Given Input numbers are 736, 264, 35, 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 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35

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, 264, 35, 585) = 1.

Given numbers are 736, 264, 35, 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 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 35 are 5 x 7

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, 264, 35, 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, 264) = 24288

GCD(736, 264) = ( 736 x 264 ) / 24288

= 736 / 264

= 736

Step2:

LCM(8, 35) = 280

GCD(8, 35) = ( 8 x 35 ) / 280

= 8 / 35

= 8

Step3:

LCM(1, 585) = 585

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

= 1 / 585

= 1

So, Greatest Common Divisor of 736, 264, 35, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 653, 74, 839
• GCD of 470, 677, 79, 332
• GCD of 630, 651, 11, 923
• GCD of 236, 109, 66, 739
• GCD of 330, 498, 67, 213

Given numbers are 736, 264, 35, 585
The greatest common divisor of numbers 736, 264, 35, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 264, 35, 585 is 1.

1. What is the GCD of 736, 264, 35, 585?

GCD of given numbers 736, 264, 35, 585 is 1

2. How to calculate the greatest common divisor of 736, 264, 35, 585?

We can find the highest common divisor of 736, 264, 35, 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, 264, 35, 585 i.e 1.

3. How can I use the GCD of 736, 264, 35, 585Calculator?

Out the numbers 736, 264, 35, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.