GCD of 580, 606, 354, 342 Calculator

Given Input numbers are 580, 606, 354, 342

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 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (580, 606, 354, 342) = 2.

Given numbers are 580, 606, 354, 342

The list of prime factors of all numbers are

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

Prime factors of 606 are 2 x 3 x 101

Prime factors of 354 are 2 x 3 x 59

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 580, 606, 354, 342 is 2.

Given numbers are 580, 606, 354, 342

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

Apply this formula for all numbers.

Step1:

LCM(580, 606) = 175740

GCD(580, 606) = ( 580 x 606 ) / 175740

= 580 / 606

= 580

Step2:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 580, 606, 354, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 113, 995, 167
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• GCD of 316, 174, 113, 174

Given numbers are 580, 606, 354, 342
The greatest common divisor of numbers 580, 606, 354, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 606, 354, 342 is 2.

1. What is the GCD of 580, 606, 354, 342?

GCD of given numbers 580, 606, 354, 342 is 2

2. How to calculate the greatest common divisor of 580, 606, 354, 342?

We can find the highest common divisor of 580, 606, 354, 342 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, 606, 354, 342 i.e 2.

3. How can I use the GCD of 580, 606, 354, 342Calculator?

Out the numbers 580, 606, 354, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.