GCD of 938, 456, 138, 422 Calculator

Given Input numbers are 938, 456, 138, 422

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 422 :

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

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (938, 456, 138, 422) = 2.

Given numbers are 938, 456, 138, 422

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 138 are 2 x 3 x 23

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 938, 456, 138, 422 is 2.

Given numbers are 938, 456, 138, 422

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

Apply this formula for all numbers.

Step1:

LCM(938, 456) = 213864

GCD(938, 456) = ( 938 x 456 ) / 213864

= 938 / 456

= 938

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 938, 456, 138, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 201, 501, 641
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Given numbers are 938, 456, 138, 422
The greatest common divisor of numbers 938, 456, 138, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 456, 138, 422 is 2.

1. What is the GCD of 938, 456, 138, 422?

GCD of given numbers 938, 456, 138, 422 is 2

2. How to calculate the greatest common divisor of 938, 456, 138, 422?

We can find the highest common divisor of 938, 456, 138, 422 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 938, 456, 138, 422 i.e 2.

3. How can I use the GCD of 938, 456, 138, 422Calculator?

Out the numbers 938, 456, 138, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.