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 154, 101, 660 i.e. 1 largest integer that divides all the numbers equally.
GCD of 154, 101, 660 is 1
GCD(154, 101, 660) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 101, 660 is 1
GCD(154, 101, 660) = 1
Given Input numbers are 154, 101, 660
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Greatest Common Divisior
We found the divisors of 154, 101, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 101, 660 is 1.
Therefore, GCD of numbers 154, 101, 660 is 1
Given Input Data is 154, 101, 660
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 101 is 101
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
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(154, 101) = 15554
GCD(154, 101) = ( 154 x 101 ) / 15554
GCD(154, 101) = 15554 / 15554
GCD(154, 101) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
GCD(1, 660) = 660 / 660
GCD(1, 660) = 1
GCD of 154, 101, 660 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 154, 101, 660?
GCD of 154, 101, 660 is 1
2. Where do I get the detailed procedure to find GCD of 154, 101, 660?
You can find a detailed procedure to find GCD of 154, 101, 660 on our page.
3. How to find GCD of 154, 101, 660 on a calculator?
You can find the GCD of 154, 101, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.