GCD of 711, 385, 20, 735 Calculator

Given Input numbers are 711, 385, 20, 735

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

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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

Greatest Common Divisior

We found the divisors of 711, 385, 20, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 385, 20, 735 is 1.

Therefore, GCD of numbers 711, 385, 20, 735 is 1

Given Input Data is 711, 385, 20, 735

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

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 20 is 2 x 2 x 5

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

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(711, 385) = 273735

GCD(711, 385) = ( 711 x 385 ) / 273735

GCD(711, 385) = 273735 / 273735

GCD(711, 385) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 711, 385, 20, 735 is 1

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1. What is the GCD of 711, 385, 20, 735?

GCD of 711, 385, 20, 735 is 1

2. Where do I get the detailed procedure to find GCD of 711, 385, 20, 735?

You can find a detailed procedure to find GCD of 711, 385, 20, 735 on our page.

3. How to find GCD of 711, 385, 20, 735 on a calculator?

You can find the GCD of 711, 385, 20, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.