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, 152, 820, 236 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 152, 820, 236 is 1
GCD(85, 152, 820, 236) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 152, 820, 236 is 1
GCD(85, 152, 820, 236) = 1
Given Input numbers are 85, 152, 820, 236
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 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Greatest Common Divisior
We found the divisors of 85, 152, 820, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 152, 820, 236 is 1.
Therefore, GCD of numbers 85, 152, 820, 236 is 1
Given Input Data is 85, 152, 820, 236
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 236 is 2 x 2 x 59
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, 152) = 12920
GCD(85, 152) = ( 85 x 152 ) / 12920
GCD(85, 152) = 12920 / 12920
GCD(85, 152) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
Step3:
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
GCD of 85, 152, 820, 236 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 152, 820, 236?
GCD of 85, 152, 820, 236 is 1
2. Where do I get the detailed procedure to find GCD of 85, 152, 820, 236?
You can find a detailed procedure to find GCD of 85, 152, 820, 236 on our page.
3. How to find GCD of 85, 152, 820, 236 on a calculator?
You can find the GCD of 85, 152, 820, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.