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 705, 121, 60, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 121, 60, 188 is 1
GCD(705, 121, 60, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 121, 60, 188 is 1
GCD(705, 121, 60, 188) = 1
Given Input numbers are 705, 121, 60, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 705, 121, 60, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 121, 60, 188 is 1.
Therefore, GCD of numbers 705, 121, 60, 188 is 1
Given Input Data is 705, 121, 60, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 121 is 11 x 11
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 188 is 2 x 2 x 47
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(705, 121) = 85305
GCD(705, 121) = ( 705 x 121 ) / 85305
GCD(705, 121) = 85305 / 85305
GCD(705, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 705, 121, 60, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 121, 60, 188?
GCD of 705, 121, 60, 188 is 1
2. Where do I get the detailed procedure to find GCD of 705, 121, 60, 188?
You can find a detailed procedure to find GCD of 705, 121, 60, 188 on our page.
3. How to find GCD of 705, 121, 60, 188 on a calculator?
You can find the GCD of 705, 121, 60, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.