GCD of 735, 105, 91, 165 Calculator

Given Input numbers are 735, 105, 91, 165

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 735, 105, 91, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 105, 91, 165 is 1.

Therefore, GCD of numbers 735, 105, 91, 165 is 1

Given Input Data is 735, 105, 91, 165

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 105 is 3 x 5 x 7

Prime Factorization of 91 is 7 x 13

Prime Factorization of 165 is 3 x 5 x 11

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, 105) = 735

GCD(735, 105) = ( 735 x 105 ) / 735

GCD(735, 105) = 77175 / 735

GCD(735, 105) = 105

Step2:

Here we consider the GCD from the above i.e. 105 as first number and the next as 91

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

LCM(105, 91) = 1365

GCD(105, 91) = ( 105 x 91 ) / 1365

GCD(105, 91) = 9555 / 1365

GCD(105, 91) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 165

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

LCM(7, 165) = 1155

GCD(7, 165) = ( 7 x 165 ) / 1155

GCD(7, 165) = 1155 / 1155

GCD(7, 165) = 1

GCD of 735, 105, 91, 165 is 1

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1. What is the GCD of 735, 105, 91, 165?

GCD of 735, 105, 91, 165 is 1

2. Where do I get the detailed procedure to find GCD of 735, 105, 91, 165?

You can find a detailed procedure to find GCD of 735, 105, 91, 165 on our page.

3. How to find GCD of 735, 105, 91, 165 on a calculator?

You can find the GCD of 735, 105, 91, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.