GCD of 462, 111, 458, 189 Calculator

Given Input numbers are 462, 111, 458, 189

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (462, 111, 458, 189) = 1.

Given numbers are 462, 111, 458, 189

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 111 are 3 x 37

Prime factors of 458 are 2 x 229

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 462, 111, 458, 189

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

Apply this formula for all numbers.

Step1:

LCM(462, 111) = 17094

GCD(462, 111) = ( 462 x 111 ) / 17094

= 462 / 111

= 462

Step2:

LCM(3, 458) = 1374

GCD(3, 458) = ( 3 x 458 ) / 1374

= 3 / 458

= 3

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 462, 111, 458, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 623, 584, 826
• GCD of 158, 922, 928, 930
• GCD of 359, 667, 564, 170
• GCD of 101, 866, 410, 762
• GCD of 623, 491, 542, 627

Given numbers are 462, 111, 458, 189
The greatest common divisor of numbers 462, 111, 458, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 111, 458, 189 is 1.

1. What is the GCD of 462, 111, 458, 189?

GCD of given numbers 462, 111, 458, 189 is 1

2. How to calculate the greatest common divisor of 462, 111, 458, 189?

We can find the highest common divisor of 462, 111, 458, 189 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 462, 111, 458, 189 i.e 1.

3. How can I use the GCD of 462, 111, 458, 189Calculator?

Out the numbers 462, 111, 458, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.