GCD of 646, 252, 174, 435 Calculator

Given Input numbers are 646, 252, 174, 435

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Greatest Common Divisior

We found the divisors of 646, 252, 174, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 252, 174, 435 is 1.

Therefore, GCD of numbers 646, 252, 174, 435 is 1

Given Input Data is 646, 252, 174, 435

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 435 is 3 x 5 x 29

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(646, 252) = 81396

GCD(646, 252) = ( 646 x 252 ) / 81396

GCD(646, 252) = 162792 / 81396

GCD(646, 252) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 435

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

LCM(2, 435) = 870

GCD(2, 435) = ( 2 x 435 ) / 870

GCD(2, 435) = 870 / 870

GCD(2, 435) = 1

GCD of 646, 252, 174, 435 is 1

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1. What is the GCD of 646, 252, 174, 435?

GCD of 646, 252, 174, 435 is 1

2. Where do I get the detailed procedure to find GCD of 646, 252, 174, 435?

You can find a detailed procedure to find GCD of 646, 252, 174, 435 on our page.

3. How to find GCD of 646, 252, 174, 435 on a calculator?

You can find the GCD of 646, 252, 174, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.