GCD of 267, 272, 198, 213 Calculator

Given Input numbers are 267, 272, 198, 213

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

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (267, 272, 198, 213) = 1.

Given numbers are 267, 272, 198, 213

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 213 are 3 x 71

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

Given numbers are 267, 272, 198, 213

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

Apply this formula for all numbers.

Step1:

LCM(267, 272) = 72624

GCD(267, 272) = ( 267 x 272 ) / 72624

= 267 / 272

= 267

Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

Step3:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

So, Greatest Common Divisor of 267, 272, 198, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 552, 659, 100
• GCD of 336, 823, 468, 866
• GCD of 247, 431, 916, 495
• GCD of 753, 359, 928, 271
• GCD of 949, 447, 211, 395

Given numbers are 267, 272, 198, 213
The greatest common divisor of numbers 267, 272, 198, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 272, 198, 213 is 1.

1. What is the GCD of 267, 272, 198, 213?

GCD of given numbers 267, 272, 198, 213 is 1

2. How to calculate the greatest common divisor of 267, 272, 198, 213?

We can find the highest common divisor of 267, 272, 198, 213 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 267, 272, 198, 213 i.e 1.

3. How can I use the GCD of 267, 272, 198, 213Calculator?

Out the numbers 267, 272, 198, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.