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 160, 158, 99, 174 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 158, 99, 174 is 1
GCD(160, 158, 99, 174) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 158, 99, 174 is 1
GCD(160, 158, 99, 174) = 1
Given Input numbers are 160, 158, 99, 174
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Greatest Common Divisior
We found the divisors of 160, 158, 99, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 158, 99, 174 is 1.
Therefore, GCD of numbers 160, 158, 99, 174 is 1
Given Input Data is 160, 158, 99, 174
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 158 is 2 x 79
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 174 is 2 x 3 x 29
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(160, 158) = 12640
GCD(160, 158) = ( 160 x 158 ) / 12640
GCD(160, 158) = 25280 / 12640
GCD(160, 158) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 99) = 198
GCD(2, 99) = ( 2 x 99 ) / 198
GCD(2, 99) = 198 / 198
GCD(2, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 174) = 174
GCD(1, 174) = ( 1 x 174 ) / 174
GCD(1, 174) = 174 / 174
GCD(1, 174) = 1
GCD of 160, 158, 99, 174 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 158, 99, 174?
GCD of 160, 158, 99, 174 is 1
2. Where do I get the detailed procedure to find GCD of 160, 158, 99, 174?
You can find a detailed procedure to find GCD of 160, 158, 99, 174 on our page.
3. How to find GCD of 160, 158, 99, 174 on a calculator?
You can find the GCD of 160, 158, 99, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.