GCD of 580, 820, 304, 242 Calculator

Given Input numbers are 580, 820, 304, 242

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (580, 820, 304, 242) = 2.

Given numbers are 580, 820, 304, 242

The list of prime factors of all numbers are

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

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 580, 820, 304, 242 is 2.

Given numbers are 580, 820, 304, 242

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

Apply this formula for all numbers.

Step1:

LCM(580, 820) = 23780

GCD(580, 820) = ( 580 x 820 ) / 23780

= 580 / 820

= 580

Step2:

LCM(20, 304) = 1520

GCD(20, 304) = ( 20 x 304 ) / 1520

= 20 / 304

= 20

Step3:

LCM(4, 242) = 484

GCD(4, 242) = ( 4 x 242 ) / 484

= 4 / 242

= 4

So, Greatest Common Divisor of 580, 820, 304, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 299, 238, 221
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• GCD of 563, 798, 696, 610

Given numbers are 580, 820, 304, 242
The greatest common divisor of numbers 580, 820, 304, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 820, 304, 242 is 2.

1. What is the GCD of 580, 820, 304, 242?

GCD of given numbers 580, 820, 304, 242 is 2

2. How to calculate the greatest common divisor of 580, 820, 304, 242?

We can find the highest common divisor of 580, 820, 304, 242 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, 820, 304, 242 i.e 2.

3. How can I use the GCD of 580, 820, 304, 242Calculator?

Out the numbers 580, 820, 304, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.