GCD of 162, 123, 901 Calculator
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 162, 123, 901 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 123, 901 is 1
GCD(162, 123, 901) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 123, 901 is 1
GCD(162, 123, 901) = 1
GCDof 162,123,901 is 1
Given Input numbers are 162, 123, 901
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Greatest Common Divisior
We found the divisors of 162, 123, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 123, 901 is 1.
Therefore, GCD of numbers 162, 123, 901 is 1
Given Input Data is 162, 123, 901
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 123 is 3 x 41
Prime Factorization of 901 is 17 x 53
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 162, 123, 901 using LCM Formula
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(162, 123) = 6642
GCD(162, 123) = ( 162 x 123 ) / 6642
GCD(162, 123) = 19926 / 6642
GCD(162, 123) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 901) = 2703
GCD(3, 901) = ( 3 x 901 ) / 2703
GCD(3, 901) = 2703 / 2703
GCD(3, 901) = 1
GCD of 162, 123, 901 is 1
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FAQs on GCD of numbers 162, 123, 901
1. What is the GCD of 162, 123, 901?
GCD of 162, 123, 901 is 1
2. Where do I get the detailed procedure to find GCD of 162, 123, 901?
You can find a detailed procedure to find GCD of 162, 123, 901 on our page.
3. How to find GCD of 162, 123, 901 on a calculator?
You can find the GCD of 162, 123, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.