GCD of 636, 680, 586, 294 Calculator

Given Input numbers are 636, 680, 586, 294

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

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

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 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

GCD of numbers is the greatest common divisor

So, the GCD (636, 680, 586, 294) = 2.

Given numbers are 636, 680, 586, 294

The list of prime factors of all numbers are

Prime factors of 636 are 2 x 2 x 3 x 53

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

Prime factors of 586 are 2 x 293

Prime factors of 294 are 2 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 636, 680, 586, 294 is 2.

Given numbers are 636, 680, 586, 294

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

Apply this formula for all numbers.

Step1:

LCM(636, 680) = 108120

GCD(636, 680) = ( 636 x 680 ) / 108120

= 636 / 680

= 636

Step2:

LCM(4, 586) = 1172

GCD(4, 586) = ( 4 x 586 ) / 1172

= 4 / 586

= 4

Step3:

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

= 2 / 294

= 2

So, Greatest Common Divisor of 636, 680, 586, 294 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 243, 858, 749
• GCD of 614, 796, 226, 687
• GCD of 254, 328, 739, 493
• GCD of 531, 248, 220, 239
• GCD of 438, 259, 131, 584

Given numbers are 636, 680, 586, 294
The greatest common divisor of numbers 636, 680, 586, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 680, 586, 294 is 2.

1. What is the GCD of 636, 680, 586, 294?

GCD of given numbers 636, 680, 586, 294 is 2

2. How to calculate the greatest common divisor of 636, 680, 586, 294?

We can find the highest common divisor of 636, 680, 586, 294 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 636, 680, 586, 294 i.e 2.

3. How can I use the GCD of 636, 680, 586, 294Calculator?

Out the numbers 636, 680, 586, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.