GCD of 429, 836, 562, 742 Calculator

Given Input numbers are 429, 836, 562, 742

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 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

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 429, 836, 562, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 836, 562, 742 is 1.

Therefore, GCD of numbers 429, 836, 562, 742 is 1

Given Input Data is 429, 836, 562, 742

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 836 is 2 x 2 x 11 x 19

Prime Factorization of 562 is 2 x 281

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(429, 836) = 32604

GCD(429, 836) = ( 429 x 836 ) / 32604

GCD(429, 836) = 358644 / 32604

GCD(429, 836) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 562

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

LCM(11, 562) = 6182

GCD(11, 562) = ( 11 x 562 ) / 6182

GCD(11, 562) = 6182 / 6182

GCD(11, 562) = 1

Step3:

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 429, 836, 562, 742 is 1

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1. What is the GCD of 429, 836, 562, 742?

GCD of 429, 836, 562, 742 is 1

2. Where do I get the detailed procedure to find GCD of 429, 836, 562, 742?

You can find a detailed procedure to find GCD of 429, 836, 562, 742 on our page.

3. How to find GCD of 429, 836, 562, 742 on a calculator?

You can find the GCD of 429, 836, 562, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.