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 824, 160, 192, 875 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 160, 192, 875 is 1
GCD(824, 160, 192, 875) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 160, 192, 875 is 1
GCD(824, 160, 192, 875) = 1
Given Input numbers are 824, 160, 192, 875
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
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 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Greatest Common Divisior
We found the divisors of 824, 160, 192, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 160, 192, 875 is 1.
Therefore, GCD of numbers 824, 160, 192, 875 is 1
Given Input Data is 824, 160, 192, 875
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 875 is 5 x 5 x 5 x 7
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(824, 160) = 16480
GCD(824, 160) = ( 824 x 160 ) / 16480
GCD(824, 160) = 131840 / 16480
GCD(824, 160) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 192
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 192) = 192
GCD(8, 192) = ( 8 x 192 ) / 192
GCD(8, 192) = 1536 / 192
GCD(8, 192) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 875) = 7000
GCD(8, 875) = ( 8 x 875 ) / 7000
GCD(8, 875) = 7000 / 7000
GCD(8, 875) = 1
GCD of 824, 160, 192, 875 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 160, 192, 875?
GCD of 824, 160, 192, 875 is 1
2. Where do I get the detailed procedure to find GCD of 824, 160, 192, 875?
You can find a detailed procedure to find GCD of 824, 160, 192, 875 on our page.
3. How to find GCD of 824, 160, 192, 875 on a calculator?
You can find the GCD of 824, 160, 192, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.