GCD of 864, 696, 100, 532 Calculator

Given Input numbers are 864, 696, 100, 532

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 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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

GCD of numbers is the greatest common divisor

So, the GCD (864, 696, 100, 532) = 4.

Given numbers are 864, 696, 100, 532

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 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 532 are 2 x 2 x 7 x 19

The highest common occurrence is 2²

Therefore, GCD of 864, 696, 100, 532 is 4.

Given numbers are 864, 696, 100, 532

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

Apply this formula for all numbers.

Step1:

LCM(864, 696) = 25056

GCD(864, 696) = ( 864 x 696 ) / 25056

= 864 / 696

= 864

Step2:

LCM(24, 100) = 600

GCD(24, 100) = ( 24 x 100 ) / 600

= 24 / 100

= 24

Step3:

LCM(4, 532) = 532

GCD(4, 532) = ( 4 x 532 ) / 532

= 4 / 532

= 4

So, Greatest Common Divisor of 864, 696, 100, 532 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 314, 226, 499
• GCD of 374, 117, 284, 220
• GCD of 620, 311, 549, 600
• GCD of 554, 201, 394, 550
• GCD of 570, 815, 820, 199

Given numbers are 864, 696, 100, 532
The greatest common divisor of numbers 864, 696, 100, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 696, 100, 532 is 4.

1. What is the GCD of 864, 696, 100, 532?

GCD of given numbers 864, 696, 100, 532 is 4

2. How to calculate the greatest common divisor of 864, 696, 100, 532?

We can find the highest common divisor of 864, 696, 100, 532 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, 696, 100, 532 i.e 4.

3. How can I use the GCD of 864, 696, 100, 532Calculator?

Out the numbers 864, 696, 100, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.