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 164, 128, 736, 834 i.e. 2 largest integer that divides all the numbers equally.
GCD of 164, 128, 736, 834 is 2
GCD(164, 128, 736, 834) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 128, 736, 834 is 2
GCD(164, 128, 736, 834) = 2
Given Input numbers are 164, 128, 736, 834
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Greatest Common Divisior
We found the divisors of 164, 128, 736, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 128, 736, 834 is 2.
Therefore, GCD of numbers 164, 128, 736, 834 is 2
Given Input Data is 164, 128, 736, 834
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 834 is 2 x 3 x 139
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(164, 128) = 5248
GCD(164, 128) = ( 164 x 128 ) / 5248
GCD(164, 128) = 20992 / 5248
GCD(164, 128) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 736) = 736
GCD(4, 736) = ( 4 x 736 ) / 736
GCD(4, 736) = 2944 / 736
GCD(4, 736) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 834) = 1668
GCD(4, 834) = ( 4 x 834 ) / 1668
GCD(4, 834) = 3336 / 1668
GCD(4, 834) = 2
GCD of 164, 128, 736, 834 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 128, 736, 834?
GCD of 164, 128, 736, 834 is 2
2. Where do I get the detailed procedure to find GCD of 164, 128, 736, 834?
You can find a detailed procedure to find GCD of 164, 128, 736, 834 on our page.
3. How to find GCD of 164, 128, 736, 834 on a calculator?
You can find the GCD of 164, 128, 736, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.