GCD of 782, 424, 258, 468 Calculator

Given Input numbers are 782, 424, 258, 468

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 424 :

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

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

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (782, 424, 258, 468) = 2.

Given numbers are 782, 424, 258, 468

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

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

Prime factors of 258 are 2 x 3 x 43

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 782, 424, 258, 468 is 2.

Given numbers are 782, 424, 258, 468

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

Apply this formula for all numbers.

Step1:

LCM(782, 424) = 165784

GCD(782, 424) = ( 782 x 424 ) / 165784

= 782 / 424

= 782

Step2:

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

= 2 / 258

= 2

Step3:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

So, Greatest Common Divisor of 782, 424, 258, 468 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 870, 174, 843
• GCD of 350, 531, 612, 862
• GCD of 396, 283, 205, 508
• GCD of 823, 671, 112, 150
• GCD of 126, 800, 513, 192

Given numbers are 782, 424, 258, 468
The greatest common divisor of numbers 782, 424, 258, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 424, 258, 468 is 2.

1. What is the GCD of 782, 424, 258, 468?

GCD of given numbers 782, 424, 258, 468 is 2

2. How to calculate the greatest common divisor of 782, 424, 258, 468?

We can find the highest common divisor of 782, 424, 258, 468 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, 424, 258, 468 i.e 2.

3. How can I use the GCD of 782, 424, 258, 468Calculator?

Out the numbers 782, 424, 258, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.