GCD of 621, 105, 687, 984 Calculator

Given Input numbers are 621, 105, 687, 984

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

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (621, 105, 687, 984) = 3.

Given numbers are 621, 105, 687, 984

The list of prime factors of all numbers are

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 105 are 3 x 5 x 7

Prime factors of 687 are 3 x 229

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 621, 105, 687, 984 is 3.

Given numbers are 621, 105, 687, 984

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

Apply this formula for all numbers.

Step1:

LCM(621, 105) = 21735

GCD(621, 105) = ( 621 x 105 ) / 21735

= 621 / 105

= 621

Step2:

LCM(3, 687) = 687

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

= 3 / 687

= 3

Step3:

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

= 3 / 984

= 3

So, Greatest Common Divisor of 621, 105, 687, 984 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 106, 462, 129
• GCD of 234, 959, 656, 638
• GCD of 502, 625, 812, 862
• GCD of 242, 415, 953, 264
• GCD of 483, 658, 855, 583

Given numbers are 621, 105, 687, 984
The greatest common divisor of numbers 621, 105, 687, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 621, 105, 687, 984 is 3.

1. What is the GCD of 621, 105, 687, 984?

GCD of given numbers 621, 105, 687, 984 is 3

2. How to calculate the greatest common divisor of 621, 105, 687, 984?

We can find the highest common divisor of 621, 105, 687, 984 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 621, 105, 687, 984 i.e 3.

3. How can I use the GCD of 621, 105, 687, 984Calculator?

Out the numbers 621, 105, 687, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.