GCD of 746, 628, 187, 578 Calculator

Given Input numbers are 746, 628, 187, 578

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 746, 628, 187, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 628, 187, 578 is 1.

Therefore, GCD of numbers 746, 628, 187, 578 is 1

Given Input Data is 746, 628, 187, 578

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 187 is 11 x 17

Prime Factorization of 578 is 2 x 17 x 17

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(746, 628) = 234244

GCD(746, 628) = ( 746 x 628 ) / 234244

GCD(746, 628) = 468488 / 234244

GCD(746, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 187

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

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

GCD(2, 187) = 374 / 374

GCD(2, 187) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 746, 628, 187, 578 is 1

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1. What is the GCD of 746, 628, 187, 578?

GCD of 746, 628, 187, 578 is 1

2. Where do I get the detailed procedure to find GCD of 746, 628, 187, 578?

You can find a detailed procedure to find GCD of 746, 628, 187, 578 on our page.

3. How to find GCD of 746, 628, 187, 578 on a calculator?

You can find the GCD of 746, 628, 187, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.