GCD of 216, 456, 457, 731 Calculator

Given Input numbers are 216, 456, 457, 731

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

GCD of numbers is the greatest common divisor

So, the GCD (216, 456, 457, 731) = 1.

Given numbers are 216, 456, 457, 731

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 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 457 are 457

Prime factors of 731 are 17 x 43

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

Given numbers are 216, 456, 457, 731

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

Apply this formula for all numbers.

Step1:

LCM(216, 456) = 4104

GCD(216, 456) = ( 216 x 456 ) / 4104

= 216 / 456

= 216

Step2:

LCM(24, 457) = 10968

GCD(24, 457) = ( 24 x 457 ) / 10968

= 24 / 457

= 24

Step3:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1

So, Greatest Common Divisor of 216, 456, 457, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 587, 370, 933
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• GCD of 503, 943, 308, 586

Given numbers are 216, 456, 457, 731
The greatest common divisor of numbers 216, 456, 457, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 456, 457, 731 is 1.

1. What is the GCD of 216, 456, 457, 731?

GCD of given numbers 216, 456, 457, 731 is 1

2. How to calculate the greatest common divisor of 216, 456, 457, 731?

We can find the highest common divisor of 216, 456, 457, 731 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, 456, 457, 731 i.e 1.

3. How can I use the GCD of 216, 456, 457, 731Calculator?

Out the numbers 216, 456, 457, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.