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 170, 766, 61, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 170, 766, 61, 155 is 1
GCD(170, 766, 61, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 766, 61, 155 is 1
GCD(170, 766, 61, 155) = 1
Given Input numbers are 170, 766, 61, 155
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 170, 766, 61, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 766, 61, 155 is 1.
Therefore, GCD of numbers 170, 766, 61, 155 is 1
Given Input Data is 170, 766, 61, 155
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 766 is 2 x 383
Prime Factorization of 61 is 61
Prime Factorization of 155 is 5 x 31
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(170, 766) = 65110
GCD(170, 766) = ( 170 x 766 ) / 65110
GCD(170, 766) = 130220 / 65110
GCD(170, 766) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
GCD of 170, 766, 61, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 766, 61, 155?
GCD of 170, 766, 61, 155 is 1
2. Where do I get the detailed procedure to find GCD of 170, 766, 61, 155?
You can find a detailed procedure to find GCD of 170, 766, 61, 155 on our page.
3. How to find GCD of 170, 766, 61, 155 on a calculator?
You can find the GCD of 170, 766, 61, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.