GCD of 58, 745, 241, 470 Calculator

Given Input numbers are 58, 745, 241, 470

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

Divisors of 58

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

1, 2, 29, 58

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 58, 745, 241, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 745, 241, 470 is 1.

Therefore, GCD of numbers 58, 745, 241, 470 is 1

Given Input Data is 58, 745, 241, 470

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 745 is 5 x 149

Prime Factorization of 241 is 241

Prime Factorization of 470 is 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(58, 745) = 43210

GCD(58, 745) = ( 58 x 745 ) / 43210

GCD(58, 745) = 43210 / 43210

GCD(58, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 58, 745, 241, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 649, 141, 502
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• GCD of 85, 715, 530, 554
• GCD of 74, 146, 626, 514
• GCD of 68, 763, 328, 750

1. What is the GCD of 58, 745, 241, 470?

GCD of 58, 745, 241, 470 is 1

2. Where do I get the detailed procedure to find GCD of 58, 745, 241, 470?

You can find a detailed procedure to find GCD of 58, 745, 241, 470 on our page.

3. How to find GCD of 58, 745, 241, 470 on a calculator?

You can find the GCD of 58, 745, 241, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.