GCD of 380, 422, 596, 894 Calculator

Given Input numbers are 380, 422, 596, 894

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 422 :

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

1, 2, 211, 422

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

GCD of numbers is the greatest common divisor

So, the GCD (380, 422, 596, 894) = 2.

Given numbers are 380, 422, 596, 894

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 422 are 2 x 211

Prime factors of 596 are 2 x 2 x 149

Prime factors of 894 are 2 x 3 x 149

The highest common occurrence is 2¹

Therefore, GCD of 380, 422, 596, 894 is 2.

Given numbers are 380, 422, 596, 894

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

Apply this formula for all numbers.

Step1:

LCM(380, 422) = 80180

GCD(380, 422) = ( 380 x 422 ) / 80180

= 380 / 422

= 380

Step2:

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

= 2 / 596

= 2

Step3:

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

= 2 / 894

= 2

So, Greatest Common Divisor of 380, 422, 596, 894 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 516, 619, 173
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• GCD of 311, 132, 123, 844
• GCD of 744, 553, 461, 484
• GCD of 825, 656, 439, 355

Given numbers are 380, 422, 596, 894
The greatest common divisor of numbers 380, 422, 596, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 422, 596, 894 is 2.

1. What is the GCD of 380, 422, 596, 894?

GCD of given numbers 380, 422, 596, 894 is 2

2. How to calculate the greatest common divisor of 380, 422, 596, 894?

We can find the highest common divisor of 380, 422, 596, 894 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 380, 422, 596, 894 i.e 2.

3. How can I use the GCD of 380, 422, 596, 894Calculator?

Out the numbers 380, 422, 596, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.