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 162, 384, 67, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 384, 67, 874 is 1
GCD(162, 384, 67, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 384, 67, 874 is 1
GCD(162, 384, 67, 874) = 1
Given Input numbers are 162, 384, 67, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 162, 384, 67, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 384, 67, 874 is 1.
Therefore, GCD of numbers 162, 384, 67, 874 is 1
Given Input Data is 162, 384, 67, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 67 is 67
Prime Factorization of 874 is 2 x 19 x 23
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(162, 384) = 10368
GCD(162, 384) = ( 162 x 384 ) / 10368
GCD(162, 384) = 62208 / 10368
GCD(162, 384) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 67) = 402
GCD(6, 67) = ( 6 x 67 ) / 402
GCD(6, 67) = 402 / 402
GCD(6, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 162, 384, 67, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 384, 67, 874?
GCD of 162, 384, 67, 874 is 1
2. Where do I get the detailed procedure to find GCD of 162, 384, 67, 874?
You can find a detailed procedure to find GCD of 162, 384, 67, 874 on our page.
3. How to find GCD of 162, 384, 67, 874 on a calculator?
You can find the GCD of 162, 384, 67, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.