GCD of 734, 360, 36, 156 Calculator

Given Input numbers are 734, 360, 36, 156

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 734, 360, 36, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 360, 36, 156 is 2.

Therefore, GCD of numbers 734, 360, 36, 156 is 2

Given Input Data is 734, 360, 36, 156

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 36 is 2 x 2 x 3 x 3

Prime Factorization of 156 is 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 156

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

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

GCD(2, 156) = 312 / 156

GCD(2, 156) = 2

GCD of 734, 360, 36, 156 is 2

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1. What is the GCD of 734, 360, 36, 156?

GCD of 734, 360, 36, 156 is 2

2. Where do I get the detailed procedure to find GCD of 734, 360, 36, 156?

You can find a detailed procedure to find GCD of 734, 360, 36, 156 on our page.

3. How to find GCD of 734, 360, 36, 156 on a calculator?

You can find the GCD of 734, 360, 36, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.