GCD of 170, 258, 637, 749 Calculator

Given Input numbers are 170, 258, 637, 749

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

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 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 170, 258, 637, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 258, 637, 749 is 1.

Therefore, GCD of numbers 170, 258, 637, 749 is 1

Given Input Data is 170, 258, 637, 749

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 749 is 7 x 107

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(170, 258) = 21930

GCD(170, 258) = ( 170 x 258 ) / 21930

GCD(170, 258) = 43860 / 21930

GCD(170, 258) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 637

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

LCM(2, 637) = 1274

GCD(2, 637) = ( 2 x 637 ) / 1274

GCD(2, 637) = 1274 / 1274

GCD(2, 637) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 170, 258, 637, 749 is 1

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1. What is the GCD of 170, 258, 637, 749?

GCD of 170, 258, 637, 749 is 1

2. Where do I get the detailed procedure to find GCD of 170, 258, 637, 749?

You can find a detailed procedure to find GCD of 170, 258, 637, 749 on our page.

3. How to find GCD of 170, 258, 637, 749 on a calculator?

You can find the GCD of 170, 258, 637, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.