GCD of 782, 212, 648, 494 Calculator

Given Input numbers are 782, 212, 648, 494

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 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

GCD of numbers is the greatest common divisor

So, the GCD (782, 212, 648, 494) = 2.

Given numbers are 782, 212, 648, 494

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 212 are 2 x 2 x 53

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 494 are 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 782, 212, 648, 494 is 2.

Given numbers are 782, 212, 648, 494

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

Apply this formula for all numbers.

Step1:

LCM(782, 212) = 82892

GCD(782, 212) = ( 782 x 212 ) / 82892

= 782 / 212

= 782

Step2:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

Step3:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

So, Greatest Common Divisor of 782, 212, 648, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 153, 740, 348
• GCD of 802, 395, 138, 433
• GCD of 840, 621, 334, 149
• GCD of 327, 493, 749, 655
• GCD of 946, 548, 255, 288

Given numbers are 782, 212, 648, 494
The greatest common divisor of numbers 782, 212, 648, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 212, 648, 494 is 2.

1. What is the GCD of 782, 212, 648, 494?

GCD of given numbers 782, 212, 648, 494 is 2

2. How to calculate the greatest common divisor of 782, 212, 648, 494?

We can find the highest common divisor of 782, 212, 648, 494 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, 212, 648, 494 i.e 2.

3. How can I use the GCD of 782, 212, 648, 494Calculator?

Out the numbers 782, 212, 648, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.