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 270, 101, 124, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 270, 101, 124, 601 is 1
GCD(270, 101, 124, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 101, 124, 601 is 1
GCD(270, 101, 124, 601) = 1
Given Input numbers are 270, 101, 124, 601
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 270, 101, 124, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 101, 124, 601 is 1.
Therefore, GCD of numbers 270, 101, 124, 601 is 1
Given Input Data is 270, 101, 124, 601
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 101 is 101
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 601 is 601
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(270, 101) = 27270
GCD(270, 101) = ( 270 x 101 ) / 27270
GCD(270, 101) = 27270 / 27270
GCD(270, 101) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 601) = 601
GCD(1, 601) = ( 1 x 601 ) / 601
GCD(1, 601) = 601 / 601
GCD(1, 601) = 1
GCD of 270, 101, 124, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 270, 101, 124, 601?
GCD of 270, 101, 124, 601 is 1
2. Where do I get the detailed procedure to find GCD of 270, 101, 124, 601?
You can find a detailed procedure to find GCD of 270, 101, 124, 601 on our page.
3. How to find GCD of 270, 101, 124, 601 on a calculator?
You can find the GCD of 270, 101, 124, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.