GCD of 120, 834, 38, 547 Calculator

Given Input numbers are 120, 834, 38, 547

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

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

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Greatest Common Divisior

We found the divisors of 120, 834, 38, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 834, 38, 547 is 1.

Therefore, GCD of numbers 120, 834, 38, 547 is 1

Given Input Data is 120, 834, 38, 547

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

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 38 is 2 x 19

Prime Factorization of 547 is 547

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(120, 834) = 16680

GCD(120, 834) = ( 120 x 834 ) / 16680

GCD(120, 834) = 100080 / 16680

GCD(120, 834) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 38

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

LCM(6, 38) = 114

GCD(6, 38) = ( 6 x 38 ) / 114

GCD(6, 38) = 228 / 114

GCD(6, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 547

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

LCM(2, 547) = 1094

GCD(2, 547) = ( 2 x 547 ) / 1094

GCD(2, 547) = 1094 / 1094

GCD(2, 547) = 1

GCD of 120, 834, 38, 547 is 1

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• GCD of 397, 242, 21, 172
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1. What is the GCD of 120, 834, 38, 547?

GCD of 120, 834, 38, 547 is 1

2. Where do I get the detailed procedure to find GCD of 120, 834, 38, 547?

You can find a detailed procedure to find GCD of 120, 834, 38, 547 on our page.

3. How to find GCD of 120, 834, 38, 547 on a calculator?

You can find the GCD of 120, 834, 38, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.