GCD of 580, 120, 486, 262 Calculator

Given Input numbers are 580, 120, 486, 262

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

GCD of numbers is the greatest common divisor

So, the GCD (580, 120, 486, 262) = 2.

Given numbers are 580, 120, 486, 262

The list of prime factors of all numbers are

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

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 262 are 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 580, 120, 486, 262 is 2.

Given numbers are 580, 120, 486, 262

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

Apply this formula for all numbers.

Step1:

LCM(580, 120) = 3480

GCD(580, 120) = ( 580 x 120 ) / 3480

= 580 / 120

= 580

Step2:

LCM(20, 486) = 4860

GCD(20, 486) = ( 20 x 486 ) / 4860

= 20 / 486

= 20

Step3:

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

= 2 / 262

= 2

So, Greatest Common Divisor of 580, 120, 486, 262 is 2

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• GCD of 557, 907, 774, 468
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Given numbers are 580, 120, 486, 262
The greatest common divisor of numbers 580, 120, 486, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 120, 486, 262 is 2.

1. What is the GCD of 580, 120, 486, 262?

GCD of given numbers 580, 120, 486, 262 is 2

2. How to calculate the greatest common divisor of 580, 120, 486, 262?

We can find the highest common divisor of 580, 120, 486, 262 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, 120, 486, 262 i.e 2.

3. How can I use the GCD of 580, 120, 486, 262Calculator?

Out the numbers 580, 120, 486, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.