GCD of 864, 912, 976, 688 Calculator

Given Input numbers are 864, 912, 976, 688

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 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (864, 912, 976, 688) = 16.

Given numbers are 864, 912, 976, 688

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 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2⁴

Therefore, GCD of 864, 912, 976, 688 is 16.

Given numbers are 864, 912, 976, 688

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

Apply this formula for all numbers.

Step1:

LCM(864, 912) = 16416

GCD(864, 912) = ( 864 x 912 ) / 16416

= 864 / 912

= 864

Step2:

LCM(48, 976) = 2928

GCD(48, 976) = ( 48 x 976 ) / 2928

= 48 / 976

= 48

Step3:

LCM(16, 688) = 688

GCD(16, 688) = ( 16 x 688 ) / 688

= 16 / 688

= 16

So, Greatest Common Divisor of 864, 912, 976, 688 is 16

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 800, 391, 215
• GCD of 313, 850, 219, 926
• GCD of 850, 897, 643, 290
• GCD of 890, 646, 889, 907
• GCD of 458, 435, 701, 424

Given numbers are 864, 912, 976, 688
The greatest common divisor of numbers 864, 912, 976, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 912, 976, 688 is 16.

1. What is the GCD of 864, 912, 976, 688?

GCD of given numbers 864, 912, 976, 688 is 16

2. How to calculate the greatest common divisor of 864, 912, 976, 688?

We can find the highest common divisor of 864, 912, 976, 688 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, 912, 976, 688 i.e 16.

3. How can I use the GCD of 864, 912, 976, 688Calculator?

Out the numbers 864, 912, 976, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.