GCD of 985, 258, 119, 500 Calculator

Given Input numbers are 985, 258, 119, 500

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

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

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 985, 258, 119, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 258, 119, 500 is 1.

Therefore, GCD of numbers 985, 258, 119, 500 is 1

Given Input Data is 985, 258, 119, 500

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

Prime Factorization of 985 is 5 x 197

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 119 is 7 x 17

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(985, 258) = 254130

GCD(985, 258) = ( 985 x 258 ) / 254130

GCD(985, 258) = 254130 / 254130

GCD(985, 258) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 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 985, 258, 119, 500 is 1

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• GCD of 219, 981, 562, 501
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1. What is the GCD of 985, 258, 119, 500?

GCD of 985, 258, 119, 500 is 1

2. Where do I get the detailed procedure to find GCD of 985, 258, 119, 500?

You can find a detailed procedure to find GCD of 985, 258, 119, 500 on our page.

3. How to find GCD of 985, 258, 119, 500 on a calculator?

You can find the GCD of 985, 258, 119, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.