GCD of 458, 146, 90, 108 Calculator

Given Input numbers are 458, 146, 90, 108

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

Divisors of 458 :

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

1, 2, 229, 458

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (458, 146, 90, 108) = 2.

Given numbers are 458, 146, 90, 108

The list of prime factors of all numbers are

Prime factors of 458 are 2 x 229

Prime factors of 146 are 2 x 73

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 458, 146, 90, 108 is 2.

Given numbers are 458, 146, 90, 108

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

Apply this formula for all numbers.

Step1:

LCM(458, 146) = 33434

GCD(458, 146) = ( 458 x 146 ) / 33434

= 458 / 146

= 458

Step2:

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

= 2 / 90

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 458, 146, 90, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 681, 36, 951
• GCD of 700, 127, 11, 955
• GCD of 921, 380, 99, 331
• GCD of 531, 711, 97, 330
• GCD of 293, 687, 64, 435

Given numbers are 458, 146, 90, 108
The greatest common divisor of numbers 458, 146, 90, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 458, 146, 90, 108 is 2.

1. What is the GCD of 458, 146, 90, 108?

GCD of given numbers 458, 146, 90, 108 is 2

2. How to calculate the greatest common divisor of 458, 146, 90, 108?

We can find the highest common divisor of 458, 146, 90, 108 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 458, 146, 90, 108 i.e 2.

3. How can I use the GCD of 458, 146, 90, 108Calculator?

Out the numbers 458, 146, 90, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.