GCD of 992, 606, 125, 506 Calculator

Given Input numbers are 992, 606, 125, 506

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 992, 606, 125, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 606, 125, 506 is 1.

Therefore, GCD of numbers 992, 606, 125, 506 is 1

Given Input Data is 992, 606, 125, 506

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 506 is 2 x 11 x 23

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(992, 606) = 300576

GCD(992, 606) = ( 992 x 606 ) / 300576

GCD(992, 606) = 601152 / 300576

GCD(992, 606) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 125

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

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

GCD(2, 125) = 250 / 250

GCD(2, 125) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 992, 606, 125, 506 is 1

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1. What is the GCD of 992, 606, 125, 506?

GCD of 992, 606, 125, 506 is 1

2. Where do I get the detailed procedure to find GCD of 992, 606, 125, 506?

You can find a detailed procedure to find GCD of 992, 606, 125, 506 on our page.

3. How to find GCD of 992, 606, 125, 506 on a calculator?

You can find the GCD of 992, 606, 125, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.