GCD of 69, 486, 992, 580 Calculator

Given Input numbers are 69, 486, 992, 580

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

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

Greatest Common Divisior

We found the divisors of 69, 486, 992, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 486, 992, 580 is 1.

Therefore, GCD of numbers 69, 486, 992, 580 is 1

Given Input Data is 69, 486, 992, 580

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 69 is 3 x 23

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 580 is 2 x 2 x 5 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(69, 486) = 11178

GCD(69, 486) = ( 69 x 486 ) / 11178

GCD(69, 486) = 33534 / 11178

GCD(69, 486) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 992

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

LCM(3, 992) = 2976

GCD(3, 992) = ( 3 x 992 ) / 2976

GCD(3, 992) = 2976 / 2976

GCD(3, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 69, 486, 992, 580 is 1

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• GCD of 50, 903, 270, 304
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• GCD of 78, 539, 981, 191

1. What is the GCD of 69, 486, 992, 580?

GCD of 69, 486, 992, 580 is 1

2. Where do I get the detailed procedure to find GCD of 69, 486, 992, 580?

You can find a detailed procedure to find GCD of 69, 486, 992, 580 on our page.

3. How to find GCD of 69, 486, 992, 580 on a calculator?

You can find the GCD of 69, 486, 992, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.