GCD of 175, 252, 647, 422 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 175, 252, 647, 422 i.e. 1 largest integer that divides all the numbers equally.

GCD of 175, 252, 647, 422 is 1

GCD(175, 252, 647, 422) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 175, 252, 647, 422 is 1

GCD(175, 252, 647, 422) = 1

GCD of 175,252,647,422 Calculator

GCDof 175,252,647,422 is 1

Given Input numbers are 175, 252, 647, 422

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

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

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 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 175, 252, 647, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 252, 647, 422 is 1.

Therefore, GCD of numbers 175, 252, 647, 422 is 1

Finding GCD of 175, 252, 647, 422 using Prime Factorization

Given Input Data is 175, 252, 647, 422

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

Prime Factorization of 175 is 5 x 5 x 7

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

Prime Factorization of 647 is 647

Prime Factorization of 422 is 2 x 211

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 175, 252, 647, 422 using LCM Formula

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(175, 252) = 6300

GCD(175, 252) = ( 175 x 252 ) / 6300

GCD(175, 252) = 44100 / 6300

GCD(175, 252) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 647

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

LCM(7, 647) = 4529

GCD(7, 647) = ( 7 x 647 ) / 4529

GCD(7, 647) = 4529 / 4529

GCD(7, 647) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 175, 252, 647, 422 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 175, 252, 647, 422

1. What is the GCD of 175, 252, 647, 422?

GCD of 175, 252, 647, 422 is 1


2. Where do I get the detailed procedure to find GCD of 175, 252, 647, 422?

You can find a detailed procedure to find GCD of 175, 252, 647, 422 on our page.


3. How to find GCD of 175, 252, 647, 422 on a calculator?

You can find the GCD of 175, 252, 647, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.