GCD of 37, 397, 834, 114 Calculator

Given Input numbers are 37, 397, 834, 114

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

Divisors of 37

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

1, 37

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 37, 397, 834, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 397, 834, 114 is 1.

Therefore, GCD of numbers 37, 397, 834, 114 is 1

Given Input Data is 37, 397, 834, 114

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

Prime Factorization of 37 is 37

Prime Factorization of 397 is 397

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 114 is 2 x 3 x 19

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(37, 397) = 14689

GCD(37, 397) = ( 37 x 397 ) / 14689

GCD(37, 397) = 14689 / 14689

GCD(37, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 834

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

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

GCD(1, 834) = 834 / 834

GCD(1, 834) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 37, 397, 834, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 537, 509, 550
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• GCD of 58, 787, 113, 210
• GCD of 66, 346, 458, 251

1. What is the GCD of 37, 397, 834, 114?

GCD of 37, 397, 834, 114 is 1

2. Where do I get the detailed procedure to find GCD of 37, 397, 834, 114?

You can find a detailed procedure to find GCD of 37, 397, 834, 114 on our page.

3. How to find GCD of 37, 397, 834, 114 on a calculator?

You can find the GCD of 37, 397, 834, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.