GCD of 643, 627, 664, 741 Calculator

Given Input numbers are 643, 627, 664, 741

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 643, 627, 664, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 627, 664, 741 is 1.

Therefore, GCD of numbers 643, 627, 664, 741 is 1

Given Input Data is 643, 627, 664, 741

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

Prime Factorization of 643 is 643

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 741 is 3 x 13 x 19

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(643, 627) = 403161

GCD(643, 627) = ( 643 x 627 ) / 403161

GCD(643, 627) = 403161 / 403161

GCD(643, 627) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

GCD of 643, 627, 664, 741 is 1

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1. What is the GCD of 643, 627, 664, 741?

GCD of 643, 627, 664, 741 is 1

2. Where do I get the detailed procedure to find GCD of 643, 627, 664, 741?

You can find a detailed procedure to find GCD of 643, 627, 664, 741 on our page.

3. How to find GCD of 643, 627, 664, 741 on a calculator?

You can find the GCD of 643, 627, 664, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.