GCD of 782, 208, 289, 213 Calculator

Given Input numbers are 782, 208, 289, 213

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

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 (782, 208, 289, 213) = 1.

Given numbers are 782, 208, 289, 213

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 289 are 17 x 17

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 782, 208, 289, 213

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

Apply this formula for all numbers.

Step1:

LCM(782, 208) = 81328

GCD(782, 208) = ( 782 x 208 ) / 81328

= 782 / 208

= 782

Step2:

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

= 2 / 289

= 2

Step3:

LCM(1, 213) = 213

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

= 1 / 213

= 1

So, Greatest Common Divisor of 782, 208, 289, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 787, 415, 886
• GCD of 850, 298, 348, 983
• GCD of 204, 107, 282, 357
• GCD of 667, 763, 835, 412
• GCD of 940, 862, 571, 714

Given numbers are 782, 208, 289, 213
The greatest common divisor of numbers 782, 208, 289, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 208, 289, 213 is 1.

1. What is the GCD of 782, 208, 289, 213?

GCD of given numbers 782, 208, 289, 213 is 1

2. How to calculate the greatest common divisor of 782, 208, 289, 213?

We can find the highest common divisor of 782, 208, 289, 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 782, 208, 289, 213 i.e 1.

3. How can I use the GCD of 782, 208, 289, 213Calculator?

Out the numbers 782, 208, 289, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.