GCD of 980, 584, 28, 513 Calculator

Given Input numbers are 980, 584, 28, 513

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

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 980, 584, 28, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 584, 28, 513 is 1.

Therefore, GCD of numbers 980, 584, 28, 513 is 1

Given Input Data is 980, 584, 28, 513

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(980, 584) = 143080

GCD(980, 584) = ( 980 x 584 ) / 143080

GCD(980, 584) = 572320 / 143080

GCD(980, 584) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 28

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

LCM(4, 28) = 28

GCD(4, 28) = ( 4 x 28 ) / 28

GCD(4, 28) = 112 / 28

GCD(4, 28) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 513

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

LCM(4, 513) = 2052

GCD(4, 513) = ( 4 x 513 ) / 2052

GCD(4, 513) = 2052 / 2052

GCD(4, 513) = 1

GCD of 980, 584, 28, 513 is 1

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• GCD of 270, 587, 15, 684
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1. What is the GCD of 980, 584, 28, 513?

GCD of 980, 584, 28, 513 is 1

2. Where do I get the detailed procedure to find GCD of 980, 584, 28, 513?

You can find a detailed procedure to find GCD of 980, 584, 28, 513 on our page.

3. How to find GCD of 980, 584, 28, 513 on a calculator?

You can find the GCD of 980, 584, 28, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.