GCD of 735, 295, 233, 695 Calculator

Given Input numbers are 735, 295, 233, 695

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 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 735, 295, 233, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 295, 233, 695 is 1.

Therefore, GCD of numbers 735, 295, 233, 695 is 1

Given Input Data is 735, 295, 233, 695

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 295 is 5 x 59

Prime Factorization of 233 is 233

Prime Factorization of 695 is 5 x 139

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, 295) = 43365

GCD(735, 295) = ( 735 x 295 ) / 43365

GCD(735, 295) = 216825 / 43365

GCD(735, 295) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 233

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

LCM(5, 233) = 1165

GCD(5, 233) = ( 5 x 233 ) / 1165

GCD(5, 233) = 1165 / 1165

GCD(5, 233) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 735, 295, 233, 695 is 1

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1. What is the GCD of 735, 295, 233, 695?

GCD of 735, 295, 233, 695 is 1

2. Where do I get the detailed procedure to find GCD of 735, 295, 233, 695?

You can find a detailed procedure to find GCD of 735, 295, 233, 695 on our page.

3. How to find GCD of 735, 295, 233, 695 on a calculator?

You can find the GCD of 735, 295, 233, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.