GCD of 712, 749, 888, 258 Calculator

Given Input numbers are 712, 749, 888, 258

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 749

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

1, 7, 107, 749

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 258

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

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

Greatest Common Divisior

We found the divisors of 712, 749, 888, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 749, 888, 258 is 1.

Therefore, GCD of numbers 712, 749, 888, 258 is 1

Given Input Data is 712, 749, 888, 258

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 749 is 7 x 107

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 258 is 2 x 3 x 43

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(712, 749) = 533288

GCD(712, 749) = ( 712 x 749 ) / 533288

GCD(712, 749) = 533288 / 533288

GCD(712, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 888

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

LCM(1, 888) = 888

GCD(1, 888) = ( 1 x 888 ) / 888

GCD(1, 888) = 888 / 888

GCD(1, 888) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 712, 749, 888, 258 is 1

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1. What is the GCD of 712, 749, 888, 258?

GCD of 712, 749, 888, 258 is 1

2. Where do I get the detailed procedure to find GCD of 712, 749, 888, 258?

You can find a detailed procedure to find GCD of 712, 749, 888, 258 on our page.

3. How to find GCD of 712, 749, 888, 258 on a calculator?

You can find the GCD of 712, 749, 888, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.