GCD of 638, 211, 714, 740 Calculator

Given Input numbers are 638, 211, 714, 740

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 638, 211, 714, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 211, 714, 740 is 1.

Therefore, GCD of numbers 638, 211, 714, 740 is 1

Given Input Data is 638, 211, 714, 740

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 211 is 211

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(638, 211) = 134618

GCD(638, 211) = ( 638 x 211 ) / 134618

GCD(638, 211) = 134618 / 134618

GCD(638, 211) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 638, 211, 714, 740 is 1

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1. What is the GCD of 638, 211, 714, 740?

GCD of 638, 211, 714, 740 is 1

2. Where do I get the detailed procedure to find GCD of 638, 211, 714, 740?

You can find a detailed procedure to find GCD of 638, 211, 714, 740 on our page.

3. How to find GCD of 638, 211, 714, 740 on a calculator?

You can find the GCD of 638, 211, 714, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.