GCD of 864, 824, 978, 408 Calculator

Given Input numbers are 864, 824, 978, 408

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

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 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (864, 824, 978, 408) = 2.

Given numbers are 864, 824, 978, 408

The list of prime factors of all numbers are

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

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 978 are 2 x 3 x 163

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 864, 824, 978, 408 is 2.

Given numbers are 864, 824, 978, 408

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

Apply this formula for all numbers.

Step1:

LCM(864, 824) = 88992

GCD(864, 824) = ( 864 x 824 ) / 88992

= 864 / 824

= 864

Step2:

LCM(8, 978) = 3912

GCD(8, 978) = ( 8 x 978 ) / 3912

= 8 / 978

= 8

Step3:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

So, Greatest Common Divisor of 864, 824, 978, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 619, 681, 225
• GCD of 553, 561, 872, 407
• GCD of 541, 185, 396, 744
• GCD of 229, 633, 129, 387
• GCD of 431, 552, 828, 989

Given numbers are 864, 824, 978, 408
The greatest common divisor of numbers 864, 824, 978, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 824, 978, 408 is 2.

1. What is the GCD of 864, 824, 978, 408?

GCD of given numbers 864, 824, 978, 408 is 2

2. How to calculate the greatest common divisor of 864, 824, 978, 408?

We can find the highest common divisor of 864, 824, 978, 408 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 864, 824, 978, 408 i.e 2.

3. How can I use the GCD of 864, 824, 978, 408Calculator?

Out the numbers 864, 824, 978, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.