GCD of 834, 495, 37, 120 Calculator

Given Input numbers are 834, 495, 37, 120

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 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 834, 495, 37, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 495, 37, 120 is 1.

Therefore, GCD of numbers 834, 495, 37, 120 is 1

Given Input Data is 834, 495, 37, 120

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 495 is 3 x 3 x 5 x 11

Prime Factorization of 37 is 37

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(834, 495) = 137610

GCD(834, 495) = ( 834 x 495 ) / 137610

GCD(834, 495) = 412830 / 137610

GCD(834, 495) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 834, 495, 37, 120 is 1

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1. What is the GCD of 834, 495, 37, 120?

GCD of 834, 495, 37, 120 is 1

2. Where do I get the detailed procedure to find GCD of 834, 495, 37, 120?

You can find a detailed procedure to find GCD of 834, 495, 37, 120 on our page.

3. How to find GCD of 834, 495, 37, 120 on a calculator?

You can find the GCD of 834, 495, 37, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.