GCD of 418, 715, 58, 940 Calculator

Given Input numbers are 418, 715, 58, 940

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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

Greatest Common Divisior

We found the divisors of 418, 715, 58, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 715, 58, 940 is 1.

Therefore, GCD of numbers 418, 715, 58, 940 is 1

Given Input Data is 418, 715, 58, 940

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 58 is 2 x 29

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

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(418, 715) = 27170

GCD(418, 715) = ( 418 x 715 ) / 27170

GCD(418, 715) = 298870 / 27170

GCD(418, 715) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 58

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

LCM(11, 58) = 638

GCD(11, 58) = ( 11 x 58 ) / 638

GCD(11, 58) = 638 / 638

GCD(11, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 418, 715, 58, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 640, 20, 148
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• GCD of 575, 547, 67, 756
• GCD of 303, 372, 41, 496

1. What is the GCD of 418, 715, 58, 940?

GCD of 418, 715, 58, 940 is 1

2. Where do I get the detailed procedure to find GCD of 418, 715, 58, 940?

You can find a detailed procedure to find GCD of 418, 715, 58, 940 on our page.

3. How to find GCD of 418, 715, 58, 940 on a calculator?

You can find the GCD of 418, 715, 58, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.