GCD of 788, 400, 462, 209 Calculator

Given Input numbers are 788, 400, 462, 209

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

GCD of numbers is the greatest common divisor

So, the GCD (788, 400, 462, 209) = 1.

Given numbers are 788, 400, 462, 209

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 209 are 11 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 788, 400, 462, 209

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

Apply this formula for all numbers.

Step1:

LCM(788, 400) = 78800

GCD(788, 400) = ( 788 x 400 ) / 78800

= 788 / 400

= 788

Step2:

LCM(4, 462) = 924

GCD(4, 462) = ( 4 x 462 ) / 924

= 4 / 462

= 4

Step3:

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

= 2 / 209

= 2

So, Greatest Common Divisor of 788, 400, 462, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 350, 337, 942
• GCD of 833, 287, 627, 190
• GCD of 193, 614, 468, 509
• GCD of 670, 830, 177, 534
• GCD of 275, 991, 127, 942

Given numbers are 788, 400, 462, 209
The greatest common divisor of numbers 788, 400, 462, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 400, 462, 209 is 1.

1. What is the GCD of 788, 400, 462, 209?

GCD of given numbers 788, 400, 462, 209 is 1

2. How to calculate the greatest common divisor of 788, 400, 462, 209?

We can find the highest common divisor of 788, 400, 462, 209 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 788, 400, 462, 209 i.e 1.

3. How can I use the GCD of 788, 400, 462, 209Calculator?

Out the numbers 788, 400, 462, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.