GCD of 735, 107, 39, 905 Calculator

Given Input numbers are 735, 107, 39, 905

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 735, 107, 39, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 107, 39, 905 is 1.

Therefore, GCD of numbers 735, 107, 39, 905 is 1

Given Input Data is 735, 107, 39, 905

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 107 is 107

Prime Factorization of 39 is 3 x 13

Prime Factorization of 905 is 5 x 181

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, 107) = 78645

GCD(735, 107) = ( 735 x 107 ) / 78645

GCD(735, 107) = 78645 / 78645

GCD(735, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 735, 107, 39, 905 is 1

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• GCD of 208, 930, 12, 645
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1. What is the GCD of 735, 107, 39, 905?

GCD of 735, 107, 39, 905 is 1

2. Where do I get the detailed procedure to find GCD of 735, 107, 39, 905?

You can find a detailed procedure to find GCD of 735, 107, 39, 905 on our page.

3. How to find GCD of 735, 107, 39, 905 on a calculator?

You can find the GCD of 735, 107, 39, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.