GCD of 580, 428, 326, 714 Calculator

Given Input numbers are 580, 428, 326, 714

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (580, 428, 326, 714) = 2.

Given numbers are 580, 428, 326, 714

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 428 are 2 x 2 x 107

Prime factors of 326 are 2 x 163

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 580, 428, 326, 714 is 2.

Given numbers are 580, 428, 326, 714

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

Apply this formula for all numbers.

Step1:

LCM(580, 428) = 62060

GCD(580, 428) = ( 580 x 428 ) / 62060

= 580 / 428

= 580

Step2:

LCM(4, 326) = 652

GCD(4, 326) = ( 4 x 326 ) / 652

= 4 / 326

= 4

Step3:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

So, Greatest Common Divisor of 580, 428, 326, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 644, 106, 385
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• GCD of 540, 574, 682, 169

Given numbers are 580, 428, 326, 714
The greatest common divisor of numbers 580, 428, 326, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 428, 326, 714 is 2.

1. What is the GCD of 580, 428, 326, 714?

GCD of given numbers 580, 428, 326, 714 is 2

2. How to calculate the greatest common divisor of 580, 428, 326, 714?

We can find the highest common divisor of 580, 428, 326, 714 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 580, 428, 326, 714 i.e 2.

3. How can I use the GCD of 580, 428, 326, 714Calculator?

Out the numbers 580, 428, 326, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.