GCD of 414, 988, 52, 773 Calculator

Given Input numbers are 414, 988, 52, 773

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Greatest Common Divisior

We found the divisors of 414, 988, 52, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 988, 52, 773 is 1.

Therefore, GCD of numbers 414, 988, 52, 773 is 1

Given Input Data is 414, 988, 52, 773

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 773 is 773

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(414, 988) = 204516

GCD(414, 988) = ( 414 x 988 ) / 204516

GCD(414, 988) = 409032 / 204516

GCD(414, 988) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 773

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

LCM(2, 773) = 1546

GCD(2, 773) = ( 2 x 773 ) / 1546

GCD(2, 773) = 1546 / 1546

GCD(2, 773) = 1

GCD of 414, 988, 52, 773 is 1

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1. What is the GCD of 414, 988, 52, 773?

GCD of 414, 988, 52, 773 is 1

2. Where do I get the detailed procedure to find GCD of 414, 988, 52, 773?

You can find a detailed procedure to find GCD of 414, 988, 52, 773 on our page.

3. How to find GCD of 414, 988, 52, 773 on a calculator?

You can find the GCD of 414, 988, 52, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.