GCD of 680, 313, 512, 684 Calculator

Given Input numbers are 680, 313, 512, 684

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 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (680, 313, 512, 684) = 1.

Given numbers are 680, 313, 512, 684

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 313 are 313

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 680, 313, 512, 684

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

Apply this formula for all numbers.

Step1:

LCM(680, 313) = 212840

GCD(680, 313) = ( 680 x 313 ) / 212840

= 680 / 313

= 680

Step2:

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

= 1 / 512

= 1

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 680, 313, 512, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 802, 911, 767, 579
• GCD of 422, 692, 396, 294
• GCD of 653, 483, 207, 640
• GCD of 869, 574, 515, 717
• GCD of 218, 240, 544, 477

Given numbers are 680, 313, 512, 684
The greatest common divisor of numbers 680, 313, 512, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 313, 512, 684 is 1.

1. What is the GCD of 680, 313, 512, 684?

GCD of given numbers 680, 313, 512, 684 is 1

2. How to calculate the greatest common divisor of 680, 313, 512, 684?

We can find the highest common divisor of 680, 313, 512, 684 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, 313, 512, 684 i.e 1.

3. How can I use the GCD of 680, 313, 512, 684Calculator?

Out the numbers 680, 313, 512, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.