GCD of 734, 360, 848, 845 Calculator

Given Input numbers are 734, 360, 848, 845

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 734, 360, 848, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 360, 848, 845 is 1.

Therefore, GCD of numbers 734, 360, 848, 845 is 1

Given Input Data is 734, 360, 848, 845

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 845 is 5 x 13 x 13

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, 360) = 132120

GCD(734, 360) = ( 734 x 360 ) / 132120

GCD(734, 360) = 264240 / 132120

GCD(734, 360) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 848

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

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

GCD(2, 848) = 1696 / 848

GCD(2, 848) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 845

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

LCM(2, 845) = 1690

GCD(2, 845) = ( 2 x 845 ) / 1690

GCD(2, 845) = 1690 / 1690

GCD(2, 845) = 1

GCD of 734, 360, 848, 845 is 1

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1. What is the GCD of 734, 360, 848, 845?

GCD of 734, 360, 848, 845 is 1

2. Where do I get the detailed procedure to find GCD of 734, 360, 848, 845?

You can find a detailed procedure to find GCD of 734, 360, 848, 845 on our page.

3. How to find GCD of 734, 360, 848, 845 on a calculator?

You can find the GCD of 734, 360, 848, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.