GCD of 987, 693, 186, 492 Calculator

Given Input numbers are 987, 693, 186, 492

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (987, 693, 186, 492) = 3.

Given numbers are 987, 693, 186, 492

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 186 are 2 x 3 x 31

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 987, 693, 186, 492 is 3.

Given numbers are 987, 693, 186, 492

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

Apply this formula for all numbers.

Step1:

LCM(987, 693) = 32571

GCD(987, 693) = ( 987 x 693 ) / 32571

= 987 / 693

= 987

Step2:

LCM(21, 186) = 1302

GCD(21, 186) = ( 21 x 186 ) / 1302

= 21 / 186

= 21

Step3:

LCM(3, 492) = 492

GCD(3, 492) = ( 3 x 492 ) / 492

= 3 / 492

= 3

So, Greatest Common Divisor of 987, 693, 186, 492 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 715, 200, 188
• GCD of 316, 627, 241, 195
• GCD of 389, 165, 638, 702
• GCD of 449, 334, 611, 619
• GCD of 506, 698, 162, 241

Given numbers are 987, 693, 186, 492
The greatest common divisor of numbers 987, 693, 186, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 693, 186, 492 is 3.

1. What is the GCD of 987, 693, 186, 492?

GCD of given numbers 987, 693, 186, 492 is 3

2. How to calculate the greatest common divisor of 987, 693, 186, 492?

We can find the highest common divisor of 987, 693, 186, 492 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, 693, 186, 492 i.e 3.

3. How can I use the GCD of 987, 693, 186, 492Calculator?

Out the numbers 987, 693, 186, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.