GCD of 196, 424, 732, 629 Calculator

Given Input numbers are 196, 424, 732, 629

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 196, 424, 732, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 424, 732, 629 is 1.

Therefore, GCD of numbers 196, 424, 732, 629 is 1

Given Input Data is 196, 424, 732, 629

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 629 is 17 x 37

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(196, 424) = 20776

GCD(196, 424) = ( 196 x 424 ) / 20776

GCD(196, 424) = 83104 / 20776

GCD(196, 424) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 732

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

LCM(4, 732) = 732

GCD(4, 732) = ( 4 x 732 ) / 732

GCD(4, 732) = 2928 / 732

GCD(4, 732) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 629

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

LCM(4, 629) = 2516

GCD(4, 629) = ( 4 x 629 ) / 2516

GCD(4, 629) = 2516 / 2516

GCD(4, 629) = 1

GCD of 196, 424, 732, 629 is 1

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1. What is the GCD of 196, 424, 732, 629?

GCD of 196, 424, 732, 629 is 1

2. Where do I get the detailed procedure to find GCD of 196, 424, 732, 629?

You can find a detailed procedure to find GCD of 196, 424, 732, 629 on our page.

3. How to find GCD of 196, 424, 732, 629 on a calculator?

You can find the GCD of 196, 424, 732, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.