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, 536, 236, 892 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 536, 236, 892 is 1
GCD(85, 536, 236, 892) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 536, 236, 892 is 1
GCD(85, 536, 236, 892) = 1
Given Input numbers are 85, 536, 236, 892
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 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Greatest Common Divisior
We found the divisors of 85, 536, 236, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 536, 236, 892 is 1.
Therefore, GCD of numbers 85, 536, 236, 892 is 1
Given Input Data is 85, 536, 236, 892
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 892 is 2 x 2 x 223
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, 536) = 45560
GCD(85, 536) = ( 85 x 536 ) / 45560
GCD(85, 536) = 45560 / 45560
GCD(85, 536) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 236) = 236
GCD(1, 236) = ( 1 x 236 ) / 236
GCD(1, 236) = 236 / 236
GCD(1, 236) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 892
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
GCD(1, 892) = 892 / 892
GCD(1, 892) = 1
GCD of 85, 536, 236, 892 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 536, 236, 892?
GCD of 85, 536, 236, 892 is 1
2. Where do I get the detailed procedure to find GCD of 85, 536, 236, 892?
You can find a detailed procedure to find GCD of 85, 536, 236, 892 on our page.
3. How to find GCD of 85, 536, 236, 892 on a calculator?
You can find the GCD of 85, 536, 236, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.