GCD of 363, 647, 735, 869 Calculator

Given Input numbers are 363, 647, 735, 869

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

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 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 363, 647, 735, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 647, 735, 869 is 1.

Therefore, GCD of numbers 363, 647, 735, 869 is 1

Given Input Data is 363, 647, 735, 869

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 647 is 647

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

Prime Factorization of 869 is 11 x 79

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(363, 647) = 234861

GCD(363, 647) = ( 363 x 647 ) / 234861

GCD(363, 647) = 234861 / 234861

GCD(363, 647) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 363, 647, 735, 869 is 1

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1. What is the GCD of 363, 647, 735, 869?

GCD of 363, 647, 735, 869 is 1

2. Where do I get the detailed procedure to find GCD of 363, 647, 735, 869?

You can find a detailed procedure to find GCD of 363, 647, 735, 869 on our page.

3. How to find GCD of 363, 647, 735, 869 on a calculator?

You can find the GCD of 363, 647, 735, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.