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 142, 422, 385, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 422, 385, 575 is 1
GCD(142, 422, 385, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 422, 385, 575 is 1
GCD(142, 422, 385, 575) = 1
Given Input numbers are 142, 422, 385, 575
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 142, 422, 385, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 422, 385, 575 is 1.
Therefore, GCD of numbers 142, 422, 385, 575 is 1
Given Input Data is 142, 422, 385, 575
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 422 is 2 x 211
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 575 is 5 x 5 x 23
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(142, 422) = 29962
GCD(142, 422) = ( 142 x 422 ) / 29962
GCD(142, 422) = 59924 / 29962
GCD(142, 422) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 385) = 770
GCD(2, 385) = ( 2 x 385 ) / 770
GCD(2, 385) = 770 / 770
GCD(2, 385) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 575) = 575
GCD(1, 575) = ( 1 x 575 ) / 575
GCD(1, 575) = 575 / 575
GCD(1, 575) = 1
GCD of 142, 422, 385, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 422, 385, 575?
GCD of 142, 422, 385, 575 is 1
2. Where do I get the detailed procedure to find GCD of 142, 422, 385, 575?
You can find a detailed procedure to find GCD of 142, 422, 385, 575 on our page.
3. How to find GCD of 142, 422, 385, 575 on a calculator?
You can find the GCD of 142, 422, 385, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.