GCD of 429, 523, 849, 772 Calculator

Given Input numbers are 429, 523, 849, 772

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 429, 523, 849, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 523, 849, 772 is 1.

Therefore, GCD of numbers 429, 523, 849, 772 is 1

Given Input Data is 429, 523, 849, 772

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 523 is 523

Prime Factorization of 849 is 3 x 283

Prime Factorization of 772 is 2 x 2 x 193

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(429, 523) = 224367

GCD(429, 523) = ( 429 x 523 ) / 224367

GCD(429, 523) = 224367 / 224367

GCD(429, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 429, 523, 849, 772 is 1

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1. What is the GCD of 429, 523, 849, 772?

GCD of 429, 523, 849, 772 is 1

2. Where do I get the detailed procedure to find GCD of 429, 523, 849, 772?

You can find a detailed procedure to find GCD of 429, 523, 849, 772 on our page.

3. How to find GCD of 429, 523, 849, 772 on a calculator?

You can find the GCD of 429, 523, 849, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.