GCD of 416, 390, 422, 694 Calculator

Given Input numbers are 416, 390, 422, 694

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

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 422 :

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

1, 2, 211, 422

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

GCD of numbers is the greatest common divisor

So, the GCD (416, 390, 422, 694) = 2.

Given numbers are 416, 390, 422, 694

The list of prime factors of all numbers are

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 422 are 2 x 211

Prime factors of 694 are 2 x 347

The highest common occurrence is 2¹

Therefore, GCD of 416, 390, 422, 694 is 2.

Given numbers are 416, 390, 422, 694

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

Apply this formula for all numbers.

Step1:

LCM(416, 390) = 6240

GCD(416, 390) = ( 416 x 390 ) / 6240

= 416 / 390

= 416

Step2:

LCM(26, 422) = 5486

GCD(26, 422) = ( 26 x 422 ) / 5486

= 26 / 422

= 26

Step3:

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

= 2 / 694

= 2

So, Greatest Common Divisor of 416, 390, 422, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 619, 457, 845
• GCD of 482, 300, 515, 212
• GCD of 644, 625, 200, 194
• GCD of 474, 295, 353, 340
• GCD of 136, 618, 456, 948

Given numbers are 416, 390, 422, 694
The greatest common divisor of numbers 416, 390, 422, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 416, 390, 422, 694 is 2.

1. What is the GCD of 416, 390, 422, 694?

GCD of given numbers 416, 390, 422, 694 is 2

2. How to calculate the greatest common divisor of 416, 390, 422, 694?

We can find the highest common divisor of 416, 390, 422, 694 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 416, 390, 422, 694 i.e 2.

3. How can I use the GCD of 416, 390, 422, 694Calculator?

Out the numbers 416, 390, 422, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.