GCD of 680, 894, 364, 494 Calculator

Given Input numbers are 680, 894, 364, 494

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 (680, 894, 364, 494) = 2.

Given numbers are 680, 894, 364, 494

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 894 are 2 x 3 x 149

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 494 are 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 680, 894, 364, 494 is 2.

Given numbers are 680, 894, 364, 494

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

Apply this formula for all numbers.

Step1:

LCM(680, 894) = 303960

GCD(680, 894) = ( 680 x 894 ) / 303960

= 680 / 894

= 680

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 494) = 494

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

= 2 / 494

= 2

So, Greatest Common Divisor of 680, 894, 364, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 880, 723, 559
• GCD of 468, 644, 258, 459
• GCD of 130, 966, 538, 674
• GCD of 282, 208, 741, 363
• GCD of 164, 105, 601, 533

Given numbers are 680, 894, 364, 494
The greatest common divisor of numbers 680, 894, 364, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 894, 364, 494 is 2.

1. What is the GCD of 680, 894, 364, 494?

GCD of given numbers 680, 894, 364, 494 is 2

2. How to calculate the greatest common divisor of 680, 894, 364, 494?

We can find the highest common divisor of 680, 894, 364, 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 680, 894, 364, 494 i.e 2.

3. How can I use the GCD of 680, 894, 364, 494Calculator?

Out the numbers 680, 894, 364, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.