GCD of 829, 714, 92, 775 Calculator

Given Input numbers are 829, 714, 92, 775

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

Divisors of 829

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

1, 829

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 829, 714, 92, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 714, 92, 775 is 1.

Therefore, GCD of numbers 829, 714, 92, 775 is 1

Given Input Data is 829, 714, 92, 775

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

Prime Factorization of 829 is 829

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 775 is 5 x 5 x 31

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(829, 714) = 591906

GCD(829, 714) = ( 829 x 714 ) / 591906

GCD(829, 714) = 591906 / 591906

GCD(829, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 92

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

LCM(1, 92) = 92

GCD(1, 92) = ( 1 x 92 ) / 92

GCD(1, 92) = 92 / 92

GCD(1, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 829, 714, 92, 775 is 1

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• GCD of 667, 391, 54, 141
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• GCD of 458, 794, 96, 263

1. What is the GCD of 829, 714, 92, 775?

GCD of 829, 714, 92, 775 is 1

2. Where do I get the detailed procedure to find GCD of 829, 714, 92, 775?

You can find a detailed procedure to find GCD of 829, 714, 92, 775 on our page.

3. How to find GCD of 829, 714, 92, 775 on a calculator?

You can find the GCD of 829, 714, 92, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.