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 numbers 175, 252, 647, 422 is 1
GCD(175, 252, 647, 422) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.