GCD of 270, 829, 235, 964 Calculator

Given Input numbers are 270, 829, 235, 964

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 270, 829, 235, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 829, 235, 964 is 1.

Therefore, GCD of numbers 270, 829, 235, 964 is 1

Given Input Data is 270, 829, 235, 964

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 829 is 829

Prime Factorization of 235 is 5 x 47

Prime Factorization of 964 is 2 x 2 x 241

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(270, 829) = 223830

GCD(270, 829) = ( 270 x 829 ) / 223830

GCD(270, 829) = 223830 / 223830

GCD(270, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 270, 829, 235, 964 is 1

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1. What is the GCD of 270, 829, 235, 964?

GCD of 270, 829, 235, 964 is 1

2. Where do I get the detailed procedure to find GCD of 270, 829, 235, 964?

You can find a detailed procedure to find GCD of 270, 829, 235, 964 on our page.

3. How to find GCD of 270, 829, 235, 964 on a calculator?

You can find the GCD of 270, 829, 235, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.