GCD of 492, 712, 846, 123 Calculator

Given Input numbers are 492, 712, 846, 123

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 492, 712, 846, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 712, 846, 123 is 1.

Therefore, GCD of numbers 492, 712, 846, 123 is 1

Given Input Data is 492, 712, 846, 123

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 712 is 2 x 2 x 2 x 89

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 123 is 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, 712) = 87576

GCD(492, 712) = ( 492 x 712 ) / 87576

GCD(492, 712) = 350304 / 87576

GCD(492, 712) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 846

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

LCM(4, 846) = 1692

GCD(4, 846) = ( 4 x 846 ) / 1692

GCD(4, 846) = 3384 / 1692

GCD(4, 846) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 123

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

LCM(2, 123) = 246

GCD(2, 123) = ( 2 x 123 ) / 246

GCD(2, 123) = 246 / 246

GCD(2, 123) = 1

GCD of 492, 712, 846, 123 is 1

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1. What is the GCD of 492, 712, 846, 123?

GCD of 492, 712, 846, 123 is 1

2. Where do I get the detailed procedure to find GCD of 492, 712, 846, 123?

You can find a detailed procedure to find GCD of 492, 712, 846, 123 on our page.

3. How to find GCD of 492, 712, 846, 123 on a calculator?

You can find the GCD of 492, 712, 846, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.