GCD of 422, 116, 522, 378 Calculator

Given Input numbers are 422, 116, 522, 378

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (422, 116, 522, 378) = 2.

Given numbers are 422, 116, 522, 378

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 116 are 2 x 2 x 29

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 422, 116, 522, 378 is 2.

Given numbers are 422, 116, 522, 378

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

Apply this formula for all numbers.

Step1:

LCM(422, 116) = 24476

GCD(422, 116) = ( 422 x 116 ) / 24476

= 422 / 116

= 422

Step2:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 422, 116, 522, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 535, 651, 384
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• GCD of 673, 937, 331, 390
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• GCD of 166, 204, 987, 437

Given numbers are 422, 116, 522, 378
The greatest common divisor of numbers 422, 116, 522, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 116, 522, 378 is 2.

1. What is the GCD of 422, 116, 522, 378?

GCD of given numbers 422, 116, 522, 378 is 2

2. How to calculate the greatest common divisor of 422, 116, 522, 378?

We can find the highest common divisor of 422, 116, 522, 378 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 422, 116, 522, 378 i.e 2.

3. How can I use the GCD of 422, 116, 522, 378Calculator?

Out the numbers 422, 116, 522, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.