GCD of 716, 856, 432, 598 Calculator

Given Input numbers are 716, 856, 432, 598

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

GCD of numbers is the greatest common divisor

So, the GCD (716, 856, 432, 598) = 2.

Given numbers are 716, 856, 432, 598

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 598 are 2 x 13 x 23

The highest common occurrence is 2¹

Therefore, GCD of 716, 856, 432, 598 is 2.

Given numbers are 716, 856, 432, 598

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

Apply this formula for all numbers.

Step1:

LCM(716, 856) = 153224

GCD(716, 856) = ( 716 x 856 ) / 153224

= 716 / 856

= 716

Step2:

LCM(4, 432) = 432

GCD(4, 432) = ( 4 x 432 ) / 432

= 4 / 432

= 4

Step3:

LCM(4, 598) = 1196

GCD(4, 598) = ( 4 x 598 ) / 1196

= 4 / 598

= 4

So, Greatest Common Divisor of 716, 856, 432, 598 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 888, 652, 612
• GCD of 648, 934, 948, 640
• GCD of 970, 936, 145, 617
• GCD of 221, 697, 378, 481
• GCD of 426, 143, 423, 157

Given numbers are 716, 856, 432, 598
The greatest common divisor of numbers 716, 856, 432, 598 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 856, 432, 598 is 2.

1. What is the GCD of 716, 856, 432, 598?

GCD of given numbers 716, 856, 432, 598 is 2

2. How to calculate the greatest common divisor of 716, 856, 432, 598?

We can find the highest common divisor of 716, 856, 432, 598 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 716, 856, 432, 598 i.e 2.

3. How can I use the GCD of 716, 856, 432, 598Calculator?

Out the numbers 716, 856, 432, 598 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.