GCD of 734, 736, 108, 901 Calculator

Given Input numbers are 734, 736, 108, 901

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 901

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

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 734, 736, 108, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 736, 108, 901 is 1.

Therefore, GCD of numbers 734, 736, 108, 901 is 1

Given Input Data is 734, 736, 108, 901

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 901 is 17 x 53

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(734, 736) = 270112

GCD(734, 736) = ( 734 x 736 ) / 270112

GCD(734, 736) = 540224 / 270112

GCD(734, 736) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

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

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 901

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

LCM(2, 901) = 1802

GCD(2, 901) = ( 2 x 901 ) / 1802

GCD(2, 901) = 1802 / 1802

GCD(2, 901) = 1

GCD of 734, 736, 108, 901 is 1

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1. What is the GCD of 734, 736, 108, 901?

GCD of 734, 736, 108, 901 is 1

2. Where do I get the detailed procedure to find GCD of 734, 736, 108, 901?

You can find a detailed procedure to find GCD of 734, 736, 108, 901 on our page.

3. How to find GCD of 734, 736, 108, 901 on a calculator?

You can find the GCD of 734, 736, 108, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.