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 401, 624, 110, 169 i.e. 1 largest integer that divides all the numbers equally.
GCD of 401, 624, 110, 169 is 1
GCD(401, 624, 110, 169) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 401, 624, 110, 169 is 1
GCD(401, 624, 110, 169) = 1
Given Input numbers are 401, 624, 110, 169
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Greatest Common Divisior
We found the divisors of 401, 624, 110, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 624, 110, 169 is 1.
Therefore, GCD of numbers 401, 624, 110, 169 is 1
Given Input Data is 401, 624, 110, 169
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 401 is 401
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 169 is 13 x 13
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(401, 624) = 250224
GCD(401, 624) = ( 401 x 624 ) / 250224
GCD(401, 624) = 250224 / 250224
GCD(401, 624) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
GCD(1, 169) = 169 / 169
GCD(1, 169) = 1
GCD of 401, 624, 110, 169 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 401, 624, 110, 169?
GCD of 401, 624, 110, 169 is 1
2. Where do I get the detailed procedure to find GCD of 401, 624, 110, 169?
You can find a detailed procedure to find GCD of 401, 624, 110, 169 on our page.
3. How to find GCD of 401, 624, 110, 169 on a calculator?
You can find the GCD of 401, 624, 110, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.