GCD of 923, 429, 52, 650 Calculator

Given Input numbers are 923, 429, 52, 650

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

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

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 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 923, 429, 52, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 429, 52, 650 is 13.

Therefore, GCD of numbers 923, 429, 52, 650 is 13

Given Input Data is 923, 429, 52, 650

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

Prime Factorization of 923 is 13 x 71

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 650 is 2 x 5 x 5 x 13

Highest common occurrences in the given inputs are 13¹

Multiplying them we get the GCD as 13

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(923, 429) = 30459

GCD(923, 429) = ( 923 x 429 ) / 30459

GCD(923, 429) = 395967 / 30459

GCD(923, 429) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 52

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

LCM(13, 52) = 52

GCD(13, 52) = ( 13 x 52 ) / 52

GCD(13, 52) = 676 / 52

GCD(13, 52) = 13

Step3:

Here we consider the GCD from the above i.e. 13 as first number and the next as 650

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

LCM(13, 650) = 650

GCD(13, 650) = ( 13 x 650 ) / 650

GCD(13, 650) = 8450 / 650

GCD(13, 650) = 13

GCD of 923, 429, 52, 650 is 13

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1. What is the GCD of 923, 429, 52, 650?

GCD of 923, 429, 52, 650 is 13

2. Where do I get the detailed procedure to find GCD of 923, 429, 52, 650?

You can find a detailed procedure to find GCD of 923, 429, 52, 650 on our page.

3. How to find GCD of 923, 429, 52, 650 on a calculator?

You can find the GCD of 923, 429, 52, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.