GCD of 582, 920, 924, 687 Calculator

Given Input numbers are 582, 920, 924, 687

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (582, 920, 924, 687) = 1.

Given numbers are 582, 920, 924, 687

The list of prime factors of all numbers are

Prime factors of 582 are 2 x 3 x 97

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 687 are 3 x 229

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

Given numbers are 582, 920, 924, 687

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

Apply this formula for all numbers.

Step1:

LCM(582, 920) = 267720

GCD(582, 920) = ( 582 x 920 ) / 267720

= 582 / 920

= 582

Step2:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

Step3:

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

= 2 / 687

= 2

So, Greatest Common Divisor of 582, 920, 924, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 743, 288, 975
• GCD of 985, 291, 347, 252
• GCD of 277, 809, 388, 328
• GCD of 930, 496, 823, 380
• GCD of 889, 186, 211, 331

Given numbers are 582, 920, 924, 687
The greatest common divisor of numbers 582, 920, 924, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 920, 924, 687 is 1.

1. What is the GCD of 582, 920, 924, 687?

GCD of given numbers 582, 920, 924, 687 is 1

2. How to calculate the greatest common divisor of 582, 920, 924, 687?

We can find the highest common divisor of 582, 920, 924, 687 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 582, 920, 924, 687 i.e 1.

3. How can I use the GCD of 582, 920, 924, 687Calculator?

Out the numbers 582, 920, 924, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.