GCD of 987, 228, 546, 288 Calculator

Given Input numbers are 987, 228, 546, 288

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 228 :

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

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

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (987, 228, 546, 288) = 3.

Given numbers are 987, 228, 546, 288

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

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

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 987, 228, 546, 288 is 3.

Given numbers are 987, 228, 546, 288

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

Apply this formula for all numbers.

Step1:

LCM(987, 228) = 75012

GCD(987, 228) = ( 987 x 228 ) / 75012

= 987 / 228

= 987

Step2:

LCM(3, 546) = 546

GCD(3, 546) = ( 3 x 546 ) / 546

= 3 / 546

= 3

Step3:

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

= 3 / 288

= 3

So, Greatest Common Divisor of 987, 228, 546, 288 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 878, 524, 677
• GCD of 663, 210, 403, 788
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• GCD of 867, 679, 334, 321
• GCD of 931, 351, 264, 870

Given numbers are 987, 228, 546, 288
The greatest common divisor of numbers 987, 228, 546, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 228, 546, 288 is 3.

1. What is the GCD of 987, 228, 546, 288?

GCD of given numbers 987, 228, 546, 288 is 3

2. How to calculate the greatest common divisor of 987, 228, 546, 288?

We can find the highest common divisor of 987, 228, 546, 288 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, 228, 546, 288 i.e 3.

3. How can I use the GCD of 987, 228, 546, 288Calculator?

Out the numbers 987, 228, 546, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.