GCD of 366, 687, 57, 924 Calculator

Given Input numbers are 366, 687, 57, 924

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

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 57 :

The positive integer divisors of 57 that completely divides 57 are.

1, 3, 19, 57

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

GCD of numbers is the greatest common divisor

So, the GCD (366, 687, 57, 924) = 3.

Given numbers are 366, 687, 57, 924

The list of prime factors of all numbers are

Prime factors of 366 are 2 x 3 x 61

Prime factors of 687 are 3 x 229

Prime factors of 57 are 3 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 366, 687, 57, 924 is 3.

Given numbers are 366, 687, 57, 924

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

Apply this formula for all numbers.

Step1:

LCM(366, 687) = 83814

GCD(366, 687) = ( 366 x 687 ) / 83814

= 366 / 687

= 366

Step2:

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

= 3 / 57

= 3

Step3:

LCM(3, 924) = 924

GCD(3, 924) = ( 3 x 924 ) / 924

= 3 / 924

= 3

So, Greatest Common Divisor of 366, 687, 57, 924 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 747, 60, 794
• GCD of 921, 926, 92, 448
• GCD of 312, 155, 73, 751
• GCD of 186, 536, 82, 296
• GCD of 767, 380, 92, 423

Given numbers are 366, 687, 57, 924
The greatest common divisor of numbers 366, 687, 57, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 687, 57, 924 is 3.

1. What is the GCD of 366, 687, 57, 924?

GCD of given numbers 366, 687, 57, 924 is 3

2. How to calculate the greatest common divisor of 366, 687, 57, 924?

We can find the highest common divisor of 366, 687, 57, 924 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 366, 687, 57, 924 i.e 3.

3. How can I use the GCD of 366, 687, 57, 924Calculator?

Out the numbers 366, 687, 57, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.