GCD of 114, 137, 71, 829 Calculator

Given Input numbers are 114, 137, 71, 829

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

Divisors of 114

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

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 114, 137, 71, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 137, 71, 829 is 1.

Therefore, GCD of numbers 114, 137, 71, 829 is 1

Given Input Data is 114, 137, 71, 829

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 137 is 137

Prime Factorization of 71 is 71

Prime Factorization of 829 is 829

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(114, 137) = 15618

GCD(114, 137) = ( 114 x 137 ) / 15618

GCD(114, 137) = 15618 / 15618

GCD(114, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 114, 137, 71, 829 is 1

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• GCD of 892, 696, 59, 422
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1. What is the GCD of 114, 137, 71, 829?

GCD of 114, 137, 71, 829 is 1

2. Where do I get the detailed procedure to find GCD of 114, 137, 71, 829?

You can find a detailed procedure to find GCD of 114, 137, 71, 829 on our page.

3. How to find GCD of 114, 137, 71, 829 on a calculator?

You can find the GCD of 114, 137, 71, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.