GCD of 894, 362, 267, 198 Calculator

Given Input numbers are 894, 362, 267, 198

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

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 267 :

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

1, 3, 89, 267

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

GCD of numbers is the greatest common divisor

So, the GCD (894, 362, 267, 198) = 1.

Given numbers are 894, 362, 267, 198

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 362 are 2 x 181

Prime factors of 267 are 3 x 89

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

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

Given numbers are 894, 362, 267, 198

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

Apply this formula for all numbers.

Step1:

LCM(894, 362) = 161814

GCD(894, 362) = ( 894 x 362 ) / 161814

= 894 / 362

= 894

Step2:

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

= 2 / 267

= 2

Step3:

LCM(1, 198) = 198

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

= 1 / 198

= 1

So, Greatest Common Divisor of 894, 362, 267, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 566, 351, 598
• GCD of 571, 244, 925, 440
• GCD of 777, 304, 813, 674
• GCD of 257, 465, 530, 698
• GCD of 923, 997, 802, 559

Given numbers are 894, 362, 267, 198
The greatest common divisor of numbers 894, 362, 267, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 362, 267, 198 is 1.

1. What is the GCD of 894, 362, 267, 198?

GCD of given numbers 894, 362, 267, 198 is 1

2. How to calculate the greatest common divisor of 894, 362, 267, 198?

We can find the highest common divisor of 894, 362, 267, 198 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 894, 362, 267, 198 i.e 1.

3. How can I use the GCD of 894, 362, 267, 198Calculator?

Out the numbers 894, 362, 267, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.