GCD of 782, 786, 646, 424 Calculator

Given Input numbers are 782, 786, 646, 424

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 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (782, 786, 646, 424) = 2.

Given numbers are 782, 786, 646, 424

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 786 are 2 x 3 x 131

Prime factors of 646 are 2 x 17 x 19

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 782, 786, 646, 424 is 2.

Given numbers are 782, 786, 646, 424

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

Apply this formula for all numbers.

Step1:

LCM(782, 786) = 307326

GCD(782, 786) = ( 782 x 786 ) / 307326

= 782 / 786

= 782

Step2:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2

Step3:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2

So, Greatest Common Divisor of 782, 786, 646, 424 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 741, 238, 794
• GCD of 217, 645, 868, 747
• GCD of 866, 143, 417, 275
• GCD of 905, 475, 793, 995
• GCD of 611, 834, 739, 242

Given numbers are 782, 786, 646, 424
The greatest common divisor of numbers 782, 786, 646, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 786, 646, 424 is 2.

1. What is the GCD of 782, 786, 646, 424?

GCD of given numbers 782, 786, 646, 424 is 2

2. How to calculate the greatest common divisor of 782, 786, 646, 424?

We can find the highest common divisor of 782, 786, 646, 424 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, 786, 646, 424 i.e 2.

3. How can I use the GCD of 782, 786, 646, 424Calculator?

Out the numbers 782, 786, 646, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.