GCD of 58, 709, 457, 633 Calculator

Given Input numbers are 58, 709, 457, 633

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 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 58, 709, 457, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 709, 457, 633 is 1.

Therefore, GCD of numbers 58, 709, 457, 633 is 1

Given Input Data is 58, 709, 457, 633

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 709 is 709

Prime Factorization of 457 is 457

Prime Factorization of 633 is 3 x 211

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, 709) = 41122

GCD(58, 709) = ( 58 x 709 ) / 41122

GCD(58, 709) = 41122 / 41122

GCD(58, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

GCD of 58, 709, 457, 633 is 1

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1. What is the GCD of 58, 709, 457, 633?

GCD of 58, 709, 457, 633 is 1

2. Where do I get the detailed procedure to find GCD of 58, 709, 457, 633?

You can find a detailed procedure to find GCD of 58, 709, 457, 633 on our page.

3. How to find GCD of 58, 709, 457, 633 on a calculator?

You can find the GCD of 58, 709, 457, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.