GCD of 901, 705, 733, 268 Calculator

Given Input numbers are 901, 705, 733, 268

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 901, 705, 733, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 705, 733, 268 is 1.

Therefore, GCD of numbers 901, 705, 733, 268 is 1

Given Input Data is 901, 705, 733, 268

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 733 is 733

Prime Factorization of 268 is 2 x 2 x 67

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(901, 705) = 635205

GCD(901, 705) = ( 901 x 705 ) / 635205

GCD(901, 705) = 635205 / 635205

GCD(901, 705) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 901, 705, 733, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 451, 389, 978
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• GCD of 340, 900, 952, 571

1. What is the GCD of 901, 705, 733, 268?

GCD of 901, 705, 733, 268 is 1

2. Where do I get the detailed procedure to find GCD of 901, 705, 733, 268?

You can find a detailed procedure to find GCD of 901, 705, 733, 268 on our page.

3. How to find GCD of 901, 705, 733, 268 on a calculator?

You can find the GCD of 901, 705, 733, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.