GCD of 874, 890, 361, 507 Calculator

Given Input numbers are 874, 890, 361, 507

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 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 874, 890, 361, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 890, 361, 507 is 1.

Therefore, GCD of numbers 874, 890, 361, 507 is 1

Given Input Data is 874, 890, 361, 507

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 890 is 2 x 5 x 89

Prime Factorization of 361 is 19 x 19

Prime Factorization of 507 is 3 x 13 x 13

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, 890) = 388930

GCD(874, 890) = ( 874 x 890 ) / 388930

GCD(874, 890) = 777860 / 388930

GCD(874, 890) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 361

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

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

GCD(2, 361) = 722 / 722

GCD(2, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 874, 890, 361, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 204, 611, 878
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• GCD of 157, 324, 307, 856

1. What is the GCD of 874, 890, 361, 507?

GCD of 874, 890, 361, 507 is 1

2. Where do I get the detailed procedure to find GCD of 874, 890, 361, 507?

You can find a detailed procedure to find GCD of 874, 890, 361, 507 on our page.

3. How to find GCD of 874, 890, 361, 507 on a calculator?

You can find the GCD of 874, 890, 361, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.