GCD of 987, 213, 321, 687 Calculator

Given Input numbers are 987, 213, 321, 687

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 687 :

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

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (987, 213, 321, 687) = 3.

Given numbers are 987, 213, 321, 687

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 213 are 3 x 71

Prime factors of 321 are 3 x 107

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 987, 213, 321, 687 is 3.

Given numbers are 987, 213, 321, 687

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

Apply this formula for all numbers.

Step1:

LCM(987, 213) = 70077

GCD(987, 213) = ( 987 x 213 ) / 70077

= 987 / 213

= 987

Step2:

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

= 3 / 321

= 3

Step3:

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

= 3 / 687

= 3

So, Greatest Common Divisor of 987, 213, 321, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 630, 773, 780
• GCD of 233, 674, 679, 612
• GCD of 483, 862, 127, 499
• GCD of 942, 783, 425, 667
• GCD of 883, 511, 806, 200

Given numbers are 987, 213, 321, 687
The greatest common divisor of numbers 987, 213, 321, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 213, 321, 687 is 3.

1. What is the GCD of 987, 213, 321, 687?

GCD of given numbers 987, 213, 321, 687 is 3

2. How to calculate the greatest common divisor of 987, 213, 321, 687?

We can find the highest common divisor of 987, 213, 321, 687 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, 213, 321, 687 i.e 3.

3. How can I use the GCD of 987, 213, 321, 687Calculator?

Out the numbers 987, 213, 321, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.