GCD of 706, 735, 805, 638 Calculator

Given Input numbers are 706, 735, 805, 638

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 638

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

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

Greatest Common Divisior

We found the divisors of 706, 735, 805, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 735, 805, 638 is 1.

Therefore, GCD of numbers 706, 735, 805, 638 is 1

Given Input Data is 706, 735, 805, 638

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 638 is 2 x 11 x 29

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(706, 735) = 518910

GCD(706, 735) = ( 706 x 735 ) / 518910

GCD(706, 735) = 518910 / 518910

GCD(706, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 706, 735, 805, 638 is 1

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1. What is the GCD of 706, 735, 805, 638?

GCD of 706, 735, 805, 638 is 1

2. Where do I get the detailed procedure to find GCD of 706, 735, 805, 638?

You can find a detailed procedure to find GCD of 706, 735, 805, 638 on our page.

3. How to find GCD of 706, 735, 805, 638 on a calculator?

You can find the GCD of 706, 735, 805, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.