GCD of 214, 464, 201, 204 Calculator

Given Input numbers are 214, 464, 201, 204

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (214, 464, 201, 204) = 1.

Given numbers are 214, 464, 201, 204

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 201 are 3 x 67

Prime factors of 204 are 2 x 2 x 3 x 17

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

Given numbers are 214, 464, 201, 204

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

Apply this formula for all numbers.

Step1:

LCM(214, 464) = 49648

GCD(214, 464) = ( 214 x 464 ) / 49648

= 214 / 464

= 214

Step2:

LCM(2, 201) = 402

GCD(2, 201) = ( 2 x 201 ) / 402

= 2 / 201

= 2

Step3:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1

So, Greatest Common Divisor of 214, 464, 201, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 286, 939, 288
• GCD of 760, 141, 110, 116
• GCD of 129, 120, 349, 773
• GCD of 149, 989, 100, 570
• GCD of 757, 676, 525, 306

Given numbers are 214, 464, 201, 204
The greatest common divisor of numbers 214, 464, 201, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 464, 201, 204 is 1.

1. What is the GCD of 214, 464, 201, 204?

GCD of given numbers 214, 464, 201, 204 is 1

2. How to calculate the greatest common divisor of 214, 464, 201, 204?

We can find the highest common divisor of 214, 464, 201, 204 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, 464, 201, 204 i.e 1.

3. How can I use the GCD of 214, 464, 201, 204Calculator?

Out the numbers 214, 464, 201, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.