GCD of 625, 940, 42, 587 Calculator

Given Input numbers are 625, 940, 42, 587

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Greatest Common Divisior

We found the divisors of 625, 940, 42, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 940, 42, 587 is 1.

Therefore, GCD of numbers 625, 940, 42, 587 is 1

Given Input Data is 625, 940, 42, 587

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 587 is 587

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(625, 940) = 117500

GCD(625, 940) = ( 625 x 940 ) / 117500

GCD(625, 940) = 587500 / 117500

GCD(625, 940) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 42

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

LCM(5, 42) = 210

GCD(5, 42) = ( 5 x 42 ) / 210

GCD(5, 42) = 210 / 210

GCD(5, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 587

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

LCM(1, 587) = 587

GCD(1, 587) = ( 1 x 587 ) / 587

GCD(1, 587) = 587 / 587

GCD(1, 587) = 1

GCD of 625, 940, 42, 587 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 701, 41, 994
• GCD of 517, 972, 52, 436
• GCD of 183, 776, 60, 381
• GCD of 315, 521, 10, 542
• GCD of 693, 691, 24, 330

1. What is the GCD of 625, 940, 42, 587?

GCD of 625, 940, 42, 587 is 1

2. Where do I get the detailed procedure to find GCD of 625, 940, 42, 587?

You can find a detailed procedure to find GCD of 625, 940, 42, 587 on our page.

3. How to find GCD of 625, 940, 42, 587 on a calculator?

You can find the GCD of 625, 940, 42, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.