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, 160, 633, 862 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 160, 633, 862 is 1
GCD(85, 160, 633, 862) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 160, 633, 862 is 1
GCD(85, 160, 633, 862) = 1
Given Input numbers are 85, 160, 633, 862
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 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Greatest Common Divisior
We found the divisors of 85, 160, 633, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 160, 633, 862 is 1.
Therefore, GCD of numbers 85, 160, 633, 862 is 1
Given Input Data is 85, 160, 633, 862
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 633 is 3 x 211
Prime Factorization of 862 is 2 x 431
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, 160) = 2720
GCD(85, 160) = ( 85 x 160 ) / 2720
GCD(85, 160) = 13600 / 2720
GCD(85, 160) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 633) = 3165
GCD(5, 633) = ( 5 x 633 ) / 3165
GCD(5, 633) = 3165 / 3165
GCD(5, 633) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
GCD(1, 862) = 862 / 862
GCD(1, 862) = 1
GCD of 85, 160, 633, 862 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 160, 633, 862?
GCD of 85, 160, 633, 862 is 1
2. Where do I get the detailed procedure to find GCD of 85, 160, 633, 862?
You can find a detailed procedure to find GCD of 85, 160, 633, 862 on our page.
3. How to find GCD of 85, 160, 633, 862 on a calculator?
You can find the GCD of 85, 160, 633, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.