GCD of 49, 406, 846, 524 Calculator

Given Input numbers are 49, 406, 846, 524

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 49, 406, 846, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 406, 846, 524 is 1.

Therefore, GCD of numbers 49, 406, 846, 524 is 1

Given Input Data is 49, 406, 846, 524

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 406 is 2 x 7 x 29

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

Prime Factorization of 524 is 2 x 2 x 131

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(49, 406) = 2842

GCD(49, 406) = ( 49 x 406 ) / 2842

GCD(49, 406) = 19894 / 2842

GCD(49, 406) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 846

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

LCM(7, 846) = 5922

GCD(7, 846) = ( 7 x 846 ) / 5922

GCD(7, 846) = 5922 / 5922

GCD(7, 846) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 49, 406, 846, 524 is 1

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• GCD of 33, 311, 853, 404
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1. What is the GCD of 49, 406, 846, 524?

GCD of 49, 406, 846, 524 is 1

2. Where do I get the detailed procedure to find GCD of 49, 406, 846, 524?

You can find a detailed procedure to find GCD of 49, 406, 846, 524 on our page.

3. How to find GCD of 49, 406, 846, 524 on a calculator?

You can find the GCD of 49, 406, 846, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.