GCD of 874, 982, 86, 509 Calculator

Given Input numbers are 874, 982, 86, 509

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 874, 982, 86, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 982, 86, 509 is 1.

Therefore, GCD of numbers 874, 982, 86, 509 is 1

Given Input Data is 874, 982, 86, 509

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 982 is 2 x 491

Prime Factorization of 86 is 2 x 43

Prime Factorization of 509 is 509

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(874, 982) = 429134

GCD(874, 982) = ( 874 x 982 ) / 429134

GCD(874, 982) = 858268 / 429134

GCD(874, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 509

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

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

GCD(2, 509) = 1018 / 1018

GCD(2, 509) = 1

GCD of 874, 982, 86, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 796, 51, 561
• GCD of 919, 544, 82, 245
• GCD of 492, 261, 99, 859
• GCD of 868, 791, 37, 382
• GCD of 439, 191, 31, 678

1. What is the GCD of 874, 982, 86, 509?

GCD of 874, 982, 86, 509 is 1

2. Where do I get the detailed procedure to find GCD of 874, 982, 86, 509?

You can find a detailed procedure to find GCD of 874, 982, 86, 509 on our page.

3. How to find GCD of 874, 982, 86, 509 on a calculator?

You can find the GCD of 874, 982, 86, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.