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 97, 127, 160, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 97, 127, 160, 170 is 1
GCD(97, 127, 160, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 97, 127, 160, 170 is 1
GCD(97, 127, 160, 170) = 1
Given Input numbers are 97, 127, 160, 170
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 127
List of positive integer divisors of 127 that divides 127 without a remainder.
1, 127
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 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 97, 127, 160, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 127, 160, 170 is 1.
Therefore, GCD of numbers 97, 127, 160, 170 is 1
Given Input Data is 97, 127, 160, 170
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 97 is 97
Prime Factorization of 127 is 127
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 170 is 2 x 5 x 17
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(97, 127) = 12319
GCD(97, 127) = ( 97 x 127 ) / 12319
GCD(97, 127) = 12319 / 12319
GCD(97, 127) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
GCD(1, 170) = 170 / 170
GCD(1, 170) = 1
GCD of 97, 127, 160, 170 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 97, 127, 160, 170?
GCD of 97, 127, 160, 170 is 1
2. Where do I get the detailed procedure to find GCD of 97, 127, 160, 170?
You can find a detailed procedure to find GCD of 97, 127, 160, 170 on our page.
3. How to find GCD of 97, 127, 160, 170 on a calculator?
You can find the GCD of 97, 127, 160, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.