GCD of 258, 172, 70, 623 Calculator

Given Input numbers are 258, 172, 70, 623

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 258, 172, 70, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 172, 70, 623 is 1.

Therefore, GCD of numbers 258, 172, 70, 623 is 1

Given Input Data is 258, 172, 70, 623

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 623 is 7 x 89

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(258, 172) = 516

GCD(258, 172) = ( 258 x 172 ) / 516

GCD(258, 172) = 44376 / 516

GCD(258, 172) = 86

Step2:

Here we consider the GCD from the above i.e. 86 as first number and the next as 70

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

LCM(86, 70) = 3010

GCD(86, 70) = ( 86 x 70 ) / 3010

GCD(86, 70) = 6020 / 3010

GCD(86, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 623

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

LCM(2, 623) = 1246

GCD(2, 623) = ( 2 x 623 ) / 1246

GCD(2, 623) = 1246 / 1246

GCD(2, 623) = 1

GCD of 258, 172, 70, 623 is 1

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1. What is the GCD of 258, 172, 70, 623?

GCD of 258, 172, 70, 623 is 1

2. Where do I get the detailed procedure to find GCD of 258, 172, 70, 623?

You can find a detailed procedure to find GCD of 258, 172, 70, 623 on our page.

3. How to find GCD of 258, 172, 70, 623 on a calculator?

You can find the GCD of 258, 172, 70, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.