GCD of 834, 734, 36, 664 Calculator

Given Input numbers are 834, 734, 36, 664

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 734

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

1, 2, 367, 734

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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 834, 734, 36, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 734, 36, 664 is 2.

Therefore, GCD of numbers 834, 734, 36, 664 is 2

Given Input Data is 834, 734, 36, 664

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 734 is 2 x 367

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(834, 734) = 306078

GCD(834, 734) = ( 834 x 734 ) / 306078

GCD(834, 734) = 612156 / 306078

GCD(834, 734) = 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 664

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

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

GCD(2, 664) = 1328 / 664

GCD(2, 664) = 2

GCD of 834, 734, 36, 664 is 2

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1. What is the GCD of 834, 734, 36, 664?

GCD of 834, 734, 36, 664 is 2

2. Where do I get the detailed procedure to find GCD of 834, 734, 36, 664?

You can find a detailed procedure to find GCD of 834, 734, 36, 664 on our page.

3. How to find GCD of 834, 734, 36, 664 on a calculator?

You can find the GCD of 834, 734, 36, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.