GCD of 864, 624, 772, 994 Calculator

Given Input numbers are 864, 624, 772, 994

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 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (864, 624, 772, 994) = 2.

Given numbers are 864, 624, 772, 994

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 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 772 are 2 x 2 x 193

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 2¹

Therefore, GCD of 864, 624, 772, 994 is 2.

Given numbers are 864, 624, 772, 994

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

Apply this formula for all numbers.

Step1:

LCM(864, 624) = 11232

GCD(864, 624) = ( 864 x 624 ) / 11232

= 864 / 624

= 864

Step2:

LCM(48, 772) = 9264

GCD(48, 772) = ( 48 x 772 ) / 9264

= 48 / 772

= 48

Step3:

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

= 4 / 994

= 4

So, Greatest Common Divisor of 864, 624, 772, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 447, 144, 516
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• GCD of 919, 906, 638, 304

Given numbers are 864, 624, 772, 994
The greatest common divisor of numbers 864, 624, 772, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 624, 772, 994 is 2.

1. What is the GCD of 864, 624, 772, 994?

GCD of given numbers 864, 624, 772, 994 is 2

2. How to calculate the greatest common divisor of 864, 624, 772, 994?

We can find the highest common divisor of 864, 624, 772, 994 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, 624, 772, 994 i.e 2.

3. How can I use the GCD of 864, 624, 772, 994Calculator?

Out the numbers 864, 624, 772, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.