GCD of 523, 832, 742 Calculator

Given Input numbers are 523, 832, 742

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

Divisors of 523

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

1, 523

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 523, 832, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 832, 742 is 1.

Therefore, GCD of numbers 523, 832, 742 is 1

Given Input Data is 523, 832, 742

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

Prime Factorization of 523 is 523

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 742 is 2 x 7 x 53

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(523, 832) = 435136

GCD(523, 832) = ( 523 x 832 ) / 435136

GCD(523, 832) = 435136 / 435136

GCD(523, 832) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 523, 832, 742 is 1

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• GCD of 486, 429, 783
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1. What is the GCD of 523, 832, 742?

GCD of 523, 832, 742 is 1

2. Where do I get the detailed procedure to find GCD of 523, 832, 742?

You can find a detailed procedure to find GCD of 523, 832, 742 on our page.

3. How to find GCD of 523, 832, 742 on a calculator?

You can find the GCD of 523, 832, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.