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 42, 122, 892, 164 i.e. 2 largest integer that divides all the numbers equally.
GCD of 42, 122, 892, 164 is 2
GCD(42, 122, 892, 164) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 122, 892, 164 is 2
GCD(42, 122, 892, 164) = 2
Given Input numbers are 42, 122, 892, 164
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Greatest Common Divisior
We found the divisors of 42, 122, 892, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 122, 892, 164 is 2.
Therefore, GCD of numbers 42, 122, 892, 164 is 2
Given Input Data is 42, 122, 892, 164
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 122 is 2 x 61
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 164 is 2 x 2 x 41
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(42, 122) = 2562
GCD(42, 122) = ( 42 x 122 ) / 2562
GCD(42, 122) = 5124 / 2562
GCD(42, 122) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 892
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 892) = 892
GCD(2, 892) = ( 2 x 892 ) / 892
GCD(2, 892) = 1784 / 892
GCD(2, 892) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 164
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
GCD(2, 164) = 328 / 164
GCD(2, 164) = 2
GCD of 42, 122, 892, 164 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 122, 892, 164?
GCD of 42, 122, 892, 164 is 2
2. Where do I get the detailed procedure to find GCD of 42, 122, 892, 164?
You can find a detailed procedure to find GCD of 42, 122, 892, 164 on our page.
3. How to find GCD of 42, 122, 892, 164 on a calculator?
You can find the GCD of 42, 122, 892, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.