GCD of 814, 385, 856, 213 Calculator

Given Input numbers are 814, 385, 856, 213

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

Divisors of 814 :

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

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (814, 385, 856, 213) = 1.

Given numbers are 814, 385, 856, 213

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 385 are 5 x 7 x 11

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 213 are 3 x 71

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

Given numbers are 814, 385, 856, 213

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

Apply this formula for all numbers.

Step1:

LCM(814, 385) = 28490

GCD(814, 385) = ( 814 x 385 ) / 28490

= 814 / 385

= 814

Step2:

LCM(11, 856) = 9416

GCD(11, 856) = ( 11 x 856 ) / 9416

= 11 / 856

= 11

Step3:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

So, Greatest Common Divisor of 814, 385, 856, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 179, 327, 531
• GCD of 686, 249, 571, 628
• GCD of 257, 390, 449, 931
• GCD of 978, 595, 865, 987
• GCD of 839, 380, 471, 658

Given numbers are 814, 385, 856, 213
The greatest common divisor of numbers 814, 385, 856, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 385, 856, 213 is 1.

1. What is the GCD of 814, 385, 856, 213?

GCD of given numbers 814, 385, 856, 213 is 1

2. How to calculate the greatest common divisor of 814, 385, 856, 213?

We can find the highest common divisor of 814, 385, 856, 213 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 814, 385, 856, 213 i.e 1.

3. How can I use the GCD of 814, 385, 856, 213Calculator?

Out the numbers 814, 385, 856, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.