GCD of 735, 906, 229, 103 Calculator

Given Input numbers are 735, 906, 229, 103

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

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 735, 906, 229, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 906, 229, 103 is 1.

Therefore, GCD of numbers 735, 906, 229, 103 is 1

Given Input Data is 735, 906, 229, 103

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

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 229 is 229

Prime Factorization of 103 is 103

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(735, 906) = 221970

GCD(735, 906) = ( 735 x 906 ) / 221970

GCD(735, 906) = 665910 / 221970

GCD(735, 906) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 229

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

LCM(3, 229) = 687

GCD(3, 229) = ( 3 x 229 ) / 687

GCD(3, 229) = 687 / 687

GCD(3, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 735, 906, 229, 103 is 1

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• GCD of 940, 327, 857, 269
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1. What is the GCD of 735, 906, 229, 103?

GCD of 735, 906, 229, 103 is 1

2. Where do I get the detailed procedure to find GCD of 735, 906, 229, 103?

You can find a detailed procedure to find GCD of 735, 906, 229, 103 on our page.

3. How to find GCD of 735, 906, 229, 103 on a calculator?

You can find the GCD of 735, 906, 229, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.