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 85, 186, 153, 645 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 186, 153, 645 is 1
GCD(85, 186, 153, 645) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 186, 153, 645 is 1
GCD(85, 186, 153, 645) = 1
Given Input numbers are 85, 186, 153, 645
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Greatest Common Divisior
We found the divisors of 85, 186, 153, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 186, 153, 645 is 1.
Therefore, GCD of numbers 85, 186, 153, 645 is 1
Given Input Data is 85, 186, 153, 645
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 645 is 3 x 5 x 43
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(85, 186) = 15810
GCD(85, 186) = ( 85 x 186 ) / 15810
GCD(85, 186) = 15810 / 15810
GCD(85, 186) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 1
GCD of 85, 186, 153, 645 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 186, 153, 645?
GCD of 85, 186, 153, 645 is 1
2. Where do I get the detailed procedure to find GCD of 85, 186, 153, 645?
You can find a detailed procedure to find GCD of 85, 186, 153, 645 on our page.
3. How to find GCD of 85, 186, 153, 645 on a calculator?
You can find the GCD of 85, 186, 153, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.