GCD of 378, 422, 420, 814 Calculator

Given Input numbers are 378, 422, 420, 814

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

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

Divisors of 422 :

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

1, 2, 211, 422

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (378, 422, 420, 814) = 2.

Given numbers are 378, 422, 420, 814

The list of prime factors of all numbers are

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

Prime factors of 422 are 2 x 211

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 378, 422, 420, 814 is 2.

Given numbers are 378, 422, 420, 814

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

Apply this formula for all numbers.

Step1:

LCM(378, 422) = 79758

GCD(378, 422) = ( 378 x 422 ) / 79758

= 378 / 422

= 378

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

So, Greatest Common Divisor of 378, 422, 420, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 322, 510, 383
• GCD of 855, 741, 282, 787
• GCD of 331, 652, 118, 897
• GCD of 159, 273, 467, 732
• GCD of 764, 281, 452, 501

Given numbers are 378, 422, 420, 814
The greatest common divisor of numbers 378, 422, 420, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 422, 420, 814 is 2.

1. What is the GCD of 378, 422, 420, 814?

GCD of given numbers 378, 422, 420, 814 is 2

2. How to calculate the greatest common divisor of 378, 422, 420, 814?

We can find the highest common divisor of 378, 422, 420, 814 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 378, 422, 420, 814 i.e 2.

3. How can I use the GCD of 378, 422, 420, 814Calculator?

Out the numbers 378, 422, 420, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.