GCD of 442, 908, 450, 122 Calculator

Given Input numbers are 442, 908, 450, 122

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

Divisors of 442 :

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

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

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

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 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

GCD of numbers is the greatest common divisor

So, the GCD (442, 908, 450, 122) = 2.

Given numbers are 442, 908, 450, 122

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 908 are 2 x 2 x 227

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

Prime factors of 122 are 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 442, 908, 450, 122 is 2.

Given numbers are 442, 908, 450, 122

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

Apply this formula for all numbers.

Step1:

LCM(442, 908) = 200668

GCD(442, 908) = ( 442 x 908 ) / 200668

= 442 / 908

= 442

Step2:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

Step3:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2

So, Greatest Common Divisor of 442, 908, 450, 122 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 418, 707, 971
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• GCD of 115, 940, 565, 748
• GCD of 172, 420, 804, 151
• GCD of 987, 658, 858, 744

Given numbers are 442, 908, 450, 122
The greatest common divisor of numbers 442, 908, 450, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 908, 450, 122 is 2.

1. What is the GCD of 442, 908, 450, 122?

GCD of given numbers 442, 908, 450, 122 is 2

2. How to calculate the greatest common divisor of 442, 908, 450, 122?

We can find the highest common divisor of 442, 908, 450, 122 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 442, 908, 450, 122 i.e 2.

3. How can I use the GCD of 442, 908, 450, 122Calculator?

Out the numbers 442, 908, 450, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.