GCD of 231, 210, 639, 984 Calculator

Given Input numbers are 231, 210, 639, 984

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

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 (231, 210, 639, 984) = 3.

Given numbers are 231, 210, 639, 984

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 639 are 3 x 3 x 71

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

The highest common occurrence is 3¹

Therefore, GCD of 231, 210, 639, 984 is 3.

Given numbers are 231, 210, 639, 984

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

Apply this formula for all numbers.

Step1:

LCM(231, 210) = 2310

GCD(231, 210) = ( 231 x 210 ) / 2310

= 231 / 210

= 231

Step2:

LCM(21, 639) = 4473

GCD(21, 639) = ( 21 x 639 ) / 4473

= 21 / 639

= 21

Step3:

LCM(3, 984) = 984

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

= 3 / 984

= 3

So, Greatest Common Divisor of 231, 210, 639, 984 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 756, 419, 821
• GCD of 215, 977, 564, 474
• GCD of 245, 478, 341, 498
• GCD of 719, 610, 141, 884
• GCD of 456, 522, 684, 434

Given numbers are 231, 210, 639, 984
The greatest common divisor of numbers 231, 210, 639, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 210, 639, 984 is 3.

1. What is the GCD of 231, 210, 639, 984?

GCD of given numbers 231, 210, 639, 984 is 3

2. How to calculate the greatest common divisor of 231, 210, 639, 984?

We can find the highest common divisor of 231, 210, 639, 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 231, 210, 639, 984 i.e 3.

3. How can I use the GCD of 231, 210, 639, 984Calculator?

Out the numbers 231, 210, 639, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.