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 92, 86, 60, 85 i.e. 1 largest integer that divides all the numbers equally.
GCD of 92, 86, 60, 85 is 1
GCD(92, 86, 60, 85) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 92, 86, 60, 85 is 1
GCD(92, 86, 60, 85) = 1
Given Input numbers are 92, 86, 60, 85
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
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 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Greatest Common Divisior
We found the divisors of 92, 86, 60, 85 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 86, 60, 85 is 1.
Therefore, GCD of numbers 92, 86, 60, 85 is 1
Given Input Data is 92, 86, 60, 85
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 86 is 2 x 43
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 85 is 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(92, 86) = 3956
GCD(92, 86) = ( 92 x 86 ) / 3956
GCD(92, 86) = 7912 / 3956
GCD(92, 86) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 60) = 60
GCD(2, 60) = ( 2 x 60 ) / 60
GCD(2, 60) = 120 / 60
GCD(2, 60) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 85) = 170
GCD(2, 85) = ( 2 x 85 ) / 170
GCD(2, 85) = 170 / 170
GCD(2, 85) = 1
GCD of 92, 86, 60, 85 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 92, 86, 60, 85?
GCD of 92, 86, 60, 85 is 1
2. Where do I get the detailed procedure to find GCD of 92, 86, 60, 85?
You can find a detailed procedure to find GCD of 92, 86, 60, 85 on our page.
3. How to find GCD of 92, 86, 60, 85 on a calculator?
You can find the GCD of 92, 86, 60, 85 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.