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 160, 862, 27, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 862, 27, 675 is 1
GCD(160, 862, 27, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 862, 27, 675 is 1
GCD(160, 862, 27, 675) = 1
Given Input numbers are 160, 862, 27, 675
To find the GCD of numbers using factoring list out all the divisors of each number
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 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Greatest Common Divisior
We found the divisors of 160, 862, 27, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 862, 27, 675 is 1.
Therefore, GCD of numbers 160, 862, 27, 675 is 1
Given Input Data is 160, 862, 27, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 862 is 2 x 431
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
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(160, 862) = 68960
GCD(160, 862) = ( 160 x 862 ) / 68960
GCD(160, 862) = 137920 / 68960
GCD(160, 862) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 27) = 54
GCD(2, 27) = ( 2 x 27 ) / 54
GCD(2, 27) = 54 / 54
GCD(2, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
GCD of 160, 862, 27, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 862, 27, 675?
GCD of 160, 862, 27, 675 is 1
2. Where do I get the detailed procedure to find GCD of 160, 862, 27, 675?
You can find a detailed procedure to find GCD of 160, 862, 27, 675 on our page.
3. How to find GCD of 160, 862, 27, 675 on a calculator?
You can find the GCD of 160, 862, 27, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.