GCD of 216, 268, 491, 756 Calculator

Given Input numbers are 216, 268, 491, 756

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

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 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (216, 268, 491, 756) = 1.

Given numbers are 216, 268, 491, 756

The list of prime factors of all numbers are

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

Prime factors of 268 are 2 x 2 x 67

Prime factors of 491 are 491

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 216, 268, 491, 756

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

Apply this formula for all numbers.

Step1:

LCM(216, 268) = 14472

GCD(216, 268) = ( 216 x 268 ) / 14472

= 216 / 268

= 216

Step2:

LCM(4, 491) = 1964

GCD(4, 491) = ( 4 x 491 ) / 1964

= 4 / 491

= 4

Step3:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

So, Greatest Common Divisor of 216, 268, 491, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 149, 377, 412
• GCD of 933, 520, 636, 883
• GCD of 735, 535, 235, 754
• GCD of 888, 128, 981, 988
• GCD of 945, 441, 666, 486

Given numbers are 216, 268, 491, 756
The greatest common divisor of numbers 216, 268, 491, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 268, 491, 756 is 1.

1. What is the GCD of 216, 268, 491, 756?

GCD of given numbers 216, 268, 491, 756 is 1

2. How to calculate the greatest common divisor of 216, 268, 491, 756?

We can find the highest common divisor of 216, 268, 491, 756 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 216, 268, 491, 756 i.e 1.

3. How can I use the GCD of 216, 268, 491, 756Calculator?

Out the numbers 216, 268, 491, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.