GCD of 987, 858, 225, 228 Calculator

Given Input numbers are 987, 858, 225, 228

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

Divisors of 987 :

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

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

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (987, 858, 225, 228) = 3.

Given numbers are 987, 858, 225, 228

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 228 are 2 x 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 987, 858, 225, 228 is 3.

Given numbers are 987, 858, 225, 228

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

Apply this formula for all numbers.

Step1:

LCM(987, 858) = 282282

GCD(987, 858) = ( 987 x 858 ) / 282282

= 987 / 858

= 987

Step2:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

Step3:

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

= 3 / 228

= 3

So, Greatest Common Divisor of 987, 858, 225, 228 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 126, 650, 641
• GCD of 894, 348, 272, 967
• GCD of 641, 474, 726, 923
• GCD of 881, 118, 723, 792
• GCD of 422, 441, 411, 621

Given numbers are 987, 858, 225, 228
The greatest common divisor of numbers 987, 858, 225, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 858, 225, 228 is 3.

1. What is the GCD of 987, 858, 225, 228?

GCD of given numbers 987, 858, 225, 228 is 3

2. How to calculate the greatest common divisor of 987, 858, 225, 228?

We can find the highest common divisor of 987, 858, 225, 228 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 987, 858, 225, 228 i.e 3.

3. How can I use the GCD of 987, 858, 225, 228Calculator?

Out the numbers 987, 858, 225, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.