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 670, 660, 95, 171 i.e. 1 largest integer that divides all the numbers equally.
GCD of 670, 660, 95, 171 is 1
GCD(670, 660, 95, 171) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 670, 660, 95, 171 is 1
GCD(670, 660, 95, 171) = 1
Given Input numbers are 670, 660, 95, 171
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Greatest Common Divisior
We found the divisors of 670, 660, 95, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 660, 95, 171 is 1.
Therefore, GCD of numbers 670, 660, 95, 171 is 1
Given Input Data is 670, 660, 95, 171
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 95 is 5 x 19
Prime Factorization of 171 is 3 x 3 x 19
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(670, 660) = 44220
GCD(670, 660) = ( 670 x 660 ) / 44220
GCD(670, 660) = 442200 / 44220
GCD(670, 660) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 95) = 190
GCD(10, 95) = ( 10 x 95 ) / 190
GCD(10, 95) = 950 / 190
GCD(10, 95) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 171) = 855
GCD(5, 171) = ( 5 x 171 ) / 855
GCD(5, 171) = 855 / 855
GCD(5, 171) = 1
GCD of 670, 660, 95, 171 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 670, 660, 95, 171?
GCD of 670, 660, 95, 171 is 1
2. Where do I get the detailed procedure to find GCD of 670, 660, 95, 171?
You can find a detailed procedure to find GCD of 670, 660, 95, 171 on our page.
3. How to find GCD of 670, 660, 95, 171 on a calculator?
You can find the GCD of 670, 660, 95, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.