GCD of 989, 658, 469, 500 Calculator

Given Input numbers are 989, 658, 469, 500

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 989, 658, 469, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 658, 469, 500 is 1.

Therefore, GCD of numbers 989, 658, 469, 500 is 1

Given Input Data is 989, 658, 469, 500

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 469 is 7 x 67

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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(989, 658) = 650762

GCD(989, 658) = ( 989 x 658 ) / 650762

GCD(989, 658) = 650762 / 650762

GCD(989, 658) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 989, 658, 469, 500 is 1

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• GCD of 352, 576, 725, 547
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1. What is the GCD of 989, 658, 469, 500?

GCD of 989, 658, 469, 500 is 1

2. Where do I get the detailed procedure to find GCD of 989, 658, 469, 500?

You can find a detailed procedure to find GCD of 989, 658, 469, 500 on our page.

3. How to find GCD of 989, 658, 469, 500 on a calculator?

You can find the GCD of 989, 658, 469, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.