GCD of 816, 678, 864, 421 Calculator

Given Input numbers are 816, 678, 864, 421

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

GCD of numbers is the greatest common divisor

So, the GCD (816, 678, 864, 421) = 1.

Given numbers are 816, 678, 864, 421

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 678 are 2 x 3 x 113

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 421 are 421

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

Given numbers are 816, 678, 864, 421

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

Apply this formula for all numbers.

Step1:

LCM(816, 678) = 92208

GCD(816, 678) = ( 816 x 678 ) / 92208

= 816 / 678

= 816

Step2:

LCM(6, 864) = 864

GCD(6, 864) = ( 6 x 864 ) / 864

= 6 / 864

= 6

Step3:

LCM(6, 421) = 2526

GCD(6, 421) = ( 6 x 421 ) / 2526

= 6 / 421

= 6

So, Greatest Common Divisor of 816, 678, 864, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 349, 721, 937
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• GCD of 270, 953, 109, 884

Given numbers are 816, 678, 864, 421
The greatest common divisor of numbers 816, 678, 864, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 678, 864, 421 is 1.

1. What is the GCD of 816, 678, 864, 421?

GCD of given numbers 816, 678, 864, 421 is 1

2. How to calculate the greatest common divisor of 816, 678, 864, 421?

We can find the highest common divisor of 816, 678, 864, 421 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 816, 678, 864, 421 i.e 1.

3. How can I use the GCD of 816, 678, 864, 421Calculator?

Out the numbers 816, 678, 864, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.