GCD of 924, 255, 888, 987 Calculator

Given Input numbers are 924, 255, 888, 987

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

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 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (924, 255, 888, 987) = 3.

Given numbers are 924, 255, 888, 987

The list of prime factors of all numbers are

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

Prime factors of 255 are 3 x 5 x 17

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 987 are 3 x 7 x 47

The highest common occurrence is 3¹

Therefore, GCD of 924, 255, 888, 987 is 3.

Given numbers are 924, 255, 888, 987

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

Apply this formula for all numbers.

Step1:

LCM(924, 255) = 78540

GCD(924, 255) = ( 924 x 255 ) / 78540

= 924 / 255

= 924

Step2:

LCM(3, 888) = 888

GCD(3, 888) = ( 3 x 888 ) / 888

= 3 / 888

= 3

Step3:

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

= 3 / 987

= 3

So, Greatest Common Divisor of 924, 255, 888, 987 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 135, 143, 395
• GCD of 550, 176, 636, 912
• GCD of 489, 782, 459, 500
• GCD of 509, 576, 138, 220
• GCD of 205, 367, 670, 320

Given numbers are 924, 255, 888, 987
The greatest common divisor of numbers 924, 255, 888, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 255, 888, 987 is 3.

1. What is the GCD of 924, 255, 888, 987?

GCD of given numbers 924, 255, 888, 987 is 3

2. How to calculate the greatest common divisor of 924, 255, 888, 987?

We can find the highest common divisor of 924, 255, 888, 987 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 924, 255, 888, 987 i.e 3.

3. How can I use the GCD of 924, 255, 888, 987Calculator?

Out the numbers 924, 255, 888, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.