GCD of 580, 212, 296 Calculator

Given Input numbers are 580, 212, 296

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 212 :

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

1, 2, 4, 53, 106, 212

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (580, 212, 296) = 4.

Given numbers are 580, 212, 296

The list of prime factors of all numbers are

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

Prime factors of 212 are 2 x 2 x 53

Prime factors of 296 are 2 x 2 x 2 x 37

The highest common occurrence is 2²

Therefore, GCD of 580, 212, 296 is 4.

Given numbers are 580, 212, 296

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

Apply this formula for all numbers.

Step1:

LCM(580, 212) = 30740

GCD(580, 212) = ( 580 x 212 ) / 30740

= 580 / 212

= 580

Step2:

LCM(4, 296) = 296

GCD(4, 296) = ( 4 x 296 ) / 296

= 4 / 296

= 4

So, Greatest Common Divisor of 580, 212, 296 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 218, 105
• GCD of 821, 649, 856
• GCD of 331, 145, 425
• GCD of 645, 603, 807
• GCD of 112, 342, 452

Given numbers are 580, 212, 296
The greatest common divisor of numbers 580, 212, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 212, 296 is 4.

1. What is the GCD of 580, 212, 296?

GCD of given numbers 580, 212, 296 is 4

2. How to calculate the greatest common divisor of 580, 212, 296?

We can find the highest common divisor of 580, 212, 296 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, 212, 296 i.e 4.

3. How can I use the GCD of 580, 212, 296Calculator?

Out the numbers 580, 212, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.