GCD of 696, 392, 864, 920 Calculator

Given Input numbers are 696, 392, 864, 920

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (696, 392, 864, 920) = 8.

Given numbers are 696, 392, 864, 920

The list of prime factors of all numbers are

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

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

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2³

Therefore, GCD of 696, 392, 864, 920 is 8.

Given numbers are 696, 392, 864, 920

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

Apply this formula for all numbers.

Step1:

LCM(696, 392) = 34104

GCD(696, 392) = ( 696 x 392 ) / 34104

= 696 / 392

= 696

Step2:

LCM(8, 864) = 864

GCD(8, 864) = ( 8 x 864 ) / 864

= 8 / 864

= 8

Step3:

LCM(8, 920) = 920

GCD(8, 920) = ( 8 x 920 ) / 920

= 8 / 920

= 8

So, Greatest Common Divisor of 696, 392, 864, 920 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 174, 663, 696
• GCD of 735, 571, 481, 384
• GCD of 409, 347, 988, 787
• GCD of 642, 959, 378, 980
• GCD of 534, 419, 566, 672

Given numbers are 696, 392, 864, 920
The greatest common divisor of numbers 696, 392, 864, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 392, 864, 920 is 8.

1. What is the GCD of 696, 392, 864, 920?

GCD of given numbers 696, 392, 864, 920 is 8

2. How to calculate the greatest common divisor of 696, 392, 864, 920?

We can find the highest common divisor of 696, 392, 864, 920 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 696, 392, 864, 920 i.e 8.

3. How can I use the GCD of 696, 392, 864, 920Calculator?

Out the numbers 696, 392, 864, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.