GCD of 71, 456, 829, 938 Calculator

Given Input numbers are 71, 456, 829, 938

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

Divisors of 71

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

1, 71

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 829

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

1, 829

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 71, 456, 829, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 456, 829, 938 is 1.

Therefore, GCD of numbers 71, 456, 829, 938 is 1

Given Input Data is 71, 456, 829, 938

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

Prime Factorization of 71 is 71

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 829 is 829

Prime Factorization of 938 is 2 x 7 x 67

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(71, 456) = 32376

GCD(71, 456) = ( 71 x 456 ) / 32376

GCD(71, 456) = 32376 / 32376

GCD(71, 456) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 71, 456, 829, 938 is 1

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• GCD of 47, 727, 243, 604
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1. What is the GCD of 71, 456, 829, 938?

GCD of 71, 456, 829, 938 is 1

2. Where do I get the detailed procedure to find GCD of 71, 456, 829, 938?

You can find a detailed procedure to find GCD of 71, 456, 829, 938 on our page.

3. How to find GCD of 71, 456, 829, 938 on a calculator?

You can find the GCD of 71, 456, 829, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.