GCD of 872, 138, 21, 884 Calculator

Given Input numbers are 872, 138, 21, 884

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

GCD of numbers is the greatest common divisor

So, the GCD (872, 138, 21, 884) = 1.

Given numbers are 872, 138, 21, 884

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 138 are 2 x 3 x 23

Prime factors of 21 are 3 x 7

Prime factors of 884 are 2 x 2 x 13 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 872, 138, 21, 884

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

Apply this formula for all numbers.

Step1:

LCM(872, 138) = 60168

GCD(872, 138) = ( 872 x 138 ) / 60168

= 872 / 138

= 872

Step2:

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

= 2 / 21

= 2

Step3:

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

= 1 / 884

= 1

So, Greatest Common Divisor of 872, 138, 21, 884 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 384, 40, 947
• GCD of 676, 799, 22, 213
• GCD of 311, 447, 71, 451
• GCD of 215, 192, 47, 109
• GCD of 543, 259, 16, 954

Given numbers are 872, 138, 21, 884
The greatest common divisor of numbers 872, 138, 21, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 138, 21, 884 is 1.

1. What is the GCD of 872, 138, 21, 884?

GCD of given numbers 872, 138, 21, 884 is 1

2. How to calculate the greatest common divisor of 872, 138, 21, 884?

We can find the highest common divisor of 872, 138, 21, 884 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 872, 138, 21, 884 i.e 1.

3. How can I use the GCD of 872, 138, 21, 884Calculator?

Out the numbers 872, 138, 21, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.