GCD of 718, 516, 582, 400 Calculator

Given Input numbers are 718, 516, 582, 400

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (718, 516, 582, 400) = 2.

Given numbers are 718, 516, 582, 400

The list of prime factors of all numbers are

Prime factors of 718 are 2 x 359

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 582 are 2 x 3 x 97

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 718, 516, 582, 400 is 2.

Given numbers are 718, 516, 582, 400

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

Apply this formula for all numbers.

Step1:

LCM(718, 516) = 185244

GCD(718, 516) = ( 718 x 516 ) / 185244

= 718 / 516

= 718

Step2:

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

= 2 / 582

= 2

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 718, 516, 582, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 210, 266, 661
• GCD of 514, 569, 276, 864
• GCD of 186, 584, 219, 198
• GCD of 536, 446, 503, 419
• GCD of 420, 623, 348, 302

Given numbers are 718, 516, 582, 400
The greatest common divisor of numbers 718, 516, 582, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 718, 516, 582, 400 is 2.

1. What is the GCD of 718, 516, 582, 400?

GCD of given numbers 718, 516, 582, 400 is 2

2. How to calculate the greatest common divisor of 718, 516, 582, 400?

We can find the highest common divisor of 718, 516, 582, 400 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 718, 516, 582, 400 i.e 2.

3. How can I use the GCD of 718, 516, 582, 400Calculator?

Out the numbers 718, 516, 582, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.