GCD of 782, 208, 756, 812 Calculator

Given Input numbers are 782, 208, 756, 812

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 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

GCD of numbers is the greatest common divisor

So, the GCD (782, 208, 756, 812) = 2.

Given numbers are 782, 208, 756, 812

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 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 812 are 2 x 2 x 7 x 29

The highest common occurrence is 2¹

Therefore, GCD of 782, 208, 756, 812 is 2.

Given numbers are 782, 208, 756, 812

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, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

Step3:

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

= 2 / 812

= 2

So, Greatest Common Divisor of 782, 208, 756, 812 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 338, 485, 486
• GCD of 693, 110, 731, 680
• GCD of 740, 753, 772, 378
• GCD of 597, 867, 146, 317
• GCD of 253, 743, 462, 327

Given numbers are 782, 208, 756, 812
The greatest common divisor of numbers 782, 208, 756, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 208, 756, 812 is 2.

1. What is the GCD of 782, 208, 756, 812?

GCD of given numbers 782, 208, 756, 812 is 2

2. How to calculate the greatest common divisor of 782, 208, 756, 812?

We can find the highest common divisor of 782, 208, 756, 812 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, 756, 812 i.e 2.

3. How can I use the GCD of 782, 208, 756, 812Calculator?

Out the numbers 782, 208, 756, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.