GCD of 894, 253, 89, 735 Calculator

Given Input numbers are 894, 253, 89, 735

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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

Greatest Common Divisior

We found the divisors of 894, 253, 89, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 253, 89, 735 is 1.

Therefore, GCD of numbers 894, 253, 89, 735 is 1

Given Input Data is 894, 253, 89, 735

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 253 is 11 x 23

Prime Factorization of 89 is 89

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

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(894, 253) = 226182

GCD(894, 253) = ( 894 x 253 ) / 226182

GCD(894, 253) = 226182 / 226182

GCD(894, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 894, 253, 89, 735 is 1

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1. What is the GCD of 894, 253, 89, 735?

GCD of 894, 253, 89, 735 is 1

2. Where do I get the detailed procedure to find GCD of 894, 253, 89, 735?

You can find a detailed procedure to find GCD of 894, 253, 89, 735 on our page.

3. How to find GCD of 894, 253, 89, 735 on a calculator?

You can find the GCD of 894, 253, 89, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.