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 601, 220, 50, 351 i.e. 1 largest integer that divides all the numbers equally.
GCD of 601, 220, 50, 351 is 1
GCD(601, 220, 50, 351) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 601, 220, 50, 351 is 1
GCD(601, 220, 50, 351) = 1
Given Input numbers are 601, 220, 50, 351
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
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 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Greatest Common Divisior
We found the divisors of 601, 220, 50, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 601, 220, 50, 351 is 1.
Therefore, GCD of numbers 601, 220, 50, 351 is 1
Given Input Data is 601, 220, 50, 351
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 601 is 601
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 351 is 3 x 3 x 3 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(601, 220) = 132220
GCD(601, 220) = ( 601 x 220 ) / 132220
GCD(601, 220) = 132220 / 132220
GCD(601, 220) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 50) = 50
GCD(1, 50) = ( 1 x 50 ) / 50
GCD(1, 50) = 50 / 50
GCD(1, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
GCD(1, 351) = 351 / 351
GCD(1, 351) = 1
GCD of 601, 220, 50, 351 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 601, 220, 50, 351?
GCD of 601, 220, 50, 351 is 1
2. Where do I get the detailed procedure to find GCD of 601, 220, 50, 351?
You can find a detailed procedure to find GCD of 601, 220, 50, 351 on our page.
3. How to find GCD of 601, 220, 50, 351 on a calculator?
You can find the GCD of 601, 220, 50, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.