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 370, 118, 34, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 118, 34, 161 is 1
GCD(370, 118, 34, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 118, 34, 161 is 1
GCD(370, 118, 34, 161) = 1
Given Input numbers are 370, 118, 34, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Greatest Common Divisior
We found the divisors of 370, 118, 34, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 118, 34, 161 is 1.
Therefore, GCD of numbers 370, 118, 34, 161 is 1
Given Input Data is 370, 118, 34, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 118 is 2 x 59
Prime Factorization of 34 is 2 x 17
Prime Factorization of 161 is 7 x 23
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(370, 118) = 21830
GCD(370, 118) = ( 370 x 118 ) / 21830
GCD(370, 118) = 43660 / 21830
GCD(370, 118) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 34) = 34
GCD(2, 34) = ( 2 x 34 ) / 34
GCD(2, 34) = 68 / 34
GCD(2, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 161) = 322
GCD(2, 161) = ( 2 x 161 ) / 322
GCD(2, 161) = 322 / 322
GCD(2, 161) = 1
GCD of 370, 118, 34, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 118, 34, 161?
GCD of 370, 118, 34, 161 is 1
2. Where do I get the detailed procedure to find GCD of 370, 118, 34, 161?
You can find a detailed procedure to find GCD of 370, 118, 34, 161 on our page.
3. How to find GCD of 370, 118, 34, 161 on a calculator?
You can find the GCD of 370, 118, 34, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.