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 361, 220, 59, 375 i.e. 1 largest integer that divides all the numbers equally.
GCD of 361, 220, 59, 375 is 1
GCD(361, 220, 59, 375) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 361, 220, 59, 375 is 1
GCD(361, 220, 59, 375) = 1
Given Input numbers are 361, 220, 59, 375
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Greatest Common Divisior
We found the divisors of 361, 220, 59, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 220, 59, 375 is 1.
Therefore, GCD of numbers 361, 220, 59, 375 is 1
Given Input Data is 361, 220, 59, 375
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 361 is 19 x 19
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 59 is 59
Prime Factorization of 375 is 3 x 5 x 5 x 5
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(361, 220) = 79420
GCD(361, 220) = ( 361 x 220 ) / 79420
GCD(361, 220) = 79420 / 79420
GCD(361, 220) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 375) = 375
GCD(1, 375) = ( 1 x 375 ) / 375
GCD(1, 375) = 375 / 375
GCD(1, 375) = 1
GCD of 361, 220, 59, 375 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 361, 220, 59, 375?
GCD of 361, 220, 59, 375 is 1
2. Where do I get the detailed procedure to find GCD of 361, 220, 59, 375?
You can find a detailed procedure to find GCD of 361, 220, 59, 375 on our page.
3. How to find GCD of 361, 220, 59, 375 on a calculator?
You can find the GCD of 361, 220, 59, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.