GCD of 422, 338, 362, 838 Calculator

Given Input numbers are 422, 338, 362, 838

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (422, 338, 362, 838) = 2.

Given numbers are 422, 338, 362, 838

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 338 are 2 x 13 x 13

Prime factors of 362 are 2 x 181

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 422, 338, 362, 838 is 2.

Given numbers are 422, 338, 362, 838

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

Apply this formula for all numbers.

Step1:

LCM(422, 338) = 71318

GCD(422, 338) = ( 422 x 338 ) / 71318

= 422 / 338

= 422

Step2:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

Step3:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

So, Greatest Common Divisor of 422, 338, 362, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 731, 677, 412
• GCD of 942, 211, 608, 115
• GCD of 211, 498, 666, 323
• GCD of 634, 462, 766, 320
• GCD of 369, 281, 671, 936

Given numbers are 422, 338, 362, 838
The greatest common divisor of numbers 422, 338, 362, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 338, 362, 838 is 2.

1. What is the GCD of 422, 338, 362, 838?

GCD of given numbers 422, 338, 362, 838 is 2

2. How to calculate the greatest common divisor of 422, 338, 362, 838?

We can find the highest common divisor of 422, 338, 362, 838 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, 338, 362, 838 i.e 2.

3. How can I use the GCD of 422, 338, 362, 838Calculator?

Out the numbers 422, 338, 362, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.