GCD of 182, 450, 106, 442 Calculator

Given Input numbers are 182, 450, 106, 442

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

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (182, 450, 106, 442) = 2.

Given numbers are 182, 450, 106, 442

The list of prime factors of all numbers are

Prime factors of 182 are 2 x 7 x 13

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 106 are 2 x 53

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 182, 450, 106, 442 is 2.

Given numbers are 182, 450, 106, 442

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

Apply this formula for all numbers.

Step1:

LCM(182, 450) = 40950

GCD(182, 450) = ( 182 x 450 ) / 40950

= 182 / 450

= 182

Step2:

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

= 2 / 106

= 2

Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

So, Greatest Common Divisor of 182, 450, 106, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 349, 424, 357
• GCD of 365, 162, 400, 530
• GCD of 254, 562, 685, 838
• GCD of 635, 755, 522, 913
• GCD of 465, 862, 926, 561

Given numbers are 182, 450, 106, 442
The greatest common divisor of numbers 182, 450, 106, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 182, 450, 106, 442 is 2.

1. What is the GCD of 182, 450, 106, 442?

GCD of given numbers 182, 450, 106, 442 is 2

2. How to calculate the greatest common divisor of 182, 450, 106, 442?

We can find the highest common divisor of 182, 450, 106, 442 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 182, 450, 106, 442 i.e 2.

3. How can I use the GCD of 182, 450, 106, 442Calculator?

Out the numbers 182, 450, 106, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.