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 422, 376, 445, 202 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 376, 445, 202 is 1
GCD(422, 376, 445, 202) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 376, 445, 202 is 1
GCD(422, 376, 445, 202) = 1
Given Input numbers are 422, 376, 445, 202
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Greatest Common Divisior
We found the divisors of 422, 376, 445, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 376, 445, 202 is 1.
Therefore, GCD of numbers 422, 376, 445, 202 is 1
Given Input Data is 422, 376, 445, 202
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 445 is 5 x 89
Prime Factorization of 202 is 2 x 101
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(422, 376) = 79336
GCD(422, 376) = ( 422 x 376 ) / 79336
GCD(422, 376) = 158672 / 79336
GCD(422, 376) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 445
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 445) = 890
GCD(2, 445) = ( 2 x 445 ) / 890
GCD(2, 445) = 890 / 890
GCD(2, 445) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 202) = 202
GCD(1, 202) = ( 1 x 202 ) / 202
GCD(1, 202) = 202 / 202
GCD(1, 202) = 1
GCD of 422, 376, 445, 202 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 376, 445, 202?
GCD of 422, 376, 445, 202 is 1
2. Where do I get the detailed procedure to find GCD of 422, 376, 445, 202?
You can find a detailed procedure to find GCD of 422, 376, 445, 202 on our page.
3. How to find GCD of 422, 376, 445, 202 on a calculator?
You can find the GCD of 422, 376, 445, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.