GCD of 162, 410, 49 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, 410, 49 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 410, 49 is 1
GCD(162, 410, 49) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 410, 49 is 1
GCD(162, 410, 49) = 1
GCDof 162,410,49 is 1
Given Input numbers are 162, 410, 49
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 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Greatest Common Divisior
We found the divisors of 162, 410, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 410, 49 is 1.
Therefore, GCD of numbers 162, 410, 49 is 1
Given Input Data is 162, 410, 49
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 410 is 2 x 5 x 41
Prime Factorization of 49 is 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 162, 410, 49 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, 410) = 33210
GCD(162, 410) = ( 162 x 410 ) / 33210
GCD(162, 410) = 66420 / 33210
GCD(162, 410) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 49) = 98
GCD(2, 49) = ( 2 x 49 ) / 98
GCD(2, 49) = 98 / 98
GCD(2, 49) = 1
GCD of 162, 410, 49 is 1
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FAQs on GCD of numbers 162, 410, 49
1. What is the GCD of 162, 410, 49?
GCD of 162, 410, 49 is 1
2. Where do I get the detailed procedure to find GCD of 162, 410, 49?
You can find a detailed procedure to find GCD of 162, 410, 49 on our page.
3. How to find GCD of 162, 410, 49 on a calculator?
You can find the GCD of 162, 410, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.