GCD of 716, 252, 216, 494 Calculator

Given Input numbers are 716, 252, 216, 494

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

GCD of numbers is the greatest common divisor

So, the GCD (716, 252, 216, 494) = 2.

Given numbers are 716, 252, 216, 494

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 494 are 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 716, 252, 216, 494 is 2.

Given numbers are 716, 252, 216, 494

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

Apply this formula for all numbers.

Step1:

LCM(716, 252) = 45108

GCD(716, 252) = ( 716 x 252 ) / 45108

= 716 / 252

= 716

Step2:

LCM(4, 216) = 216

GCD(4, 216) = ( 4 x 216 ) / 216

= 4 / 216

= 4

Step3:

LCM(4, 494) = 988

GCD(4, 494) = ( 4 x 494 ) / 988

= 4 / 494

= 4

So, Greatest Common Divisor of 716, 252, 216, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 321, 596, 102
• GCD of 426, 961, 230, 962
• GCD of 718, 904, 947, 970
• GCD of 850, 805, 904, 656
• GCD of 301, 840, 745, 262

Given numbers are 716, 252, 216, 494
The greatest common divisor of numbers 716, 252, 216, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 252, 216, 494 is 2.

1. What is the GCD of 716, 252, 216, 494?

GCD of given numbers 716, 252, 216, 494 is 2

2. How to calculate the greatest common divisor of 716, 252, 216, 494?

We can find the highest common divisor of 716, 252, 216, 494 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, 252, 216, 494 i.e 2.

3. How can I use the GCD of 716, 252, 216, 494Calculator?

Out the numbers 716, 252, 216, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.