GCD of 492, 829, 661, 738 Calculator

Given Input numbers are 492, 829, 661, 738

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 829

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

1, 829

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 492, 829, 661, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 829, 661, 738 is 1.

Therefore, GCD of numbers 492, 829, 661, 738 is 1

Given Input Data is 492, 829, 661, 738

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 829 is 829

Prime Factorization of 661 is 661

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(492, 829) = 407868

GCD(492, 829) = ( 492 x 829 ) / 407868

GCD(492, 829) = 407868 / 407868

GCD(492, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 492, 829, 661, 738 is 1

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1. What is the GCD of 492, 829, 661, 738?

GCD of 492, 829, 661, 738 is 1

2. Where do I get the detailed procedure to find GCD of 492, 829, 661, 738?

You can find a detailed procedure to find GCD of 492, 829, 661, 738 on our page.

3. How to find GCD of 492, 829, 661, 738 on a calculator?

You can find the GCD of 492, 829, 661, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.