GCD of 214, 465, 36, 721 Calculator

Given Input numbers are 214, 465, 36, 721

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (214, 465, 36, 721) = 1.

Given numbers are 214, 465, 36, 721

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 465 are 3 x 5 x 31

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 721 are 7 x 103

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

Given numbers are 214, 465, 36, 721

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

Apply this formula for all numbers.

Step1:

LCM(214, 465) = 99510

GCD(214, 465) = ( 214 x 465 ) / 99510

= 214 / 465

= 214

Step2:

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

= 1 / 36

= 1

Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

So, Greatest Common Divisor of 214, 465, 36, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 490, 80, 372
• GCD of 500, 847, 24, 707
• GCD of 923, 783, 55, 767
• GCD of 731, 372, 10, 546
• GCD of 475, 333, 28, 336

Given numbers are 214, 465, 36, 721
The greatest common divisor of numbers 214, 465, 36, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 465, 36, 721 is 1.

1. What is the GCD of 214, 465, 36, 721?

GCD of given numbers 214, 465, 36, 721 is 1

2. How to calculate the greatest common divisor of 214, 465, 36, 721?

We can find the highest common divisor of 214, 465, 36, 721 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 214, 465, 36, 721 i.e 1.

3. How can I use the GCD of 214, 465, 36, 721Calculator?

Out the numbers 214, 465, 36, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.