GCD of 122, 376, 450, 238 Calculator

Given Input numbers are 122, 376, 450, 238

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

Divisors of 122 :

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

1, 2, 61, 122

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

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 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (122, 376, 450, 238) = 2.

Given numbers are 122, 376, 450, 238

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 376 are 2 x 2 x 2 x 47

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

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 122, 376, 450, 238 is 2.

Given numbers are 122, 376, 450, 238

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

Apply this formula for all numbers.

Step1:

LCM(122, 376) = 22936

GCD(122, 376) = ( 122 x 376 ) / 22936

= 122 / 376

= 122

Step2:

LCM(2, 450) = 450

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

= 2 / 450

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 122, 376, 450, 238 is 2

Here are some samples of GCD of Numbers calculations.

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Given numbers are 122, 376, 450, 238
The greatest common divisor of numbers 122, 376, 450, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 376, 450, 238 is 2.

1. What is the GCD of 122, 376, 450, 238?

GCD of given numbers 122, 376, 450, 238 is 2

2. How to calculate the greatest common divisor of 122, 376, 450, 238?

We can find the highest common divisor of 122, 376, 450, 238 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 122, 376, 450, 238 i.e 2.

3. How can I use the GCD of 122, 376, 450, 238Calculator?

Out the numbers 122, 376, 450, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.