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 168, 492, 452, 896 i.e. 4 largest integer that divides all the numbers equally.
GCD of 168, 492, 452, 896 is 4
GCD(168, 492, 452, 896) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 492, 452, 896 is 4
GCD(168, 492, 452, 896) = 4
Given Input numbers are 168, 492, 452, 896
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Greatest Common Divisior
We found the divisors of 168, 492, 452, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 492, 452, 896 is 4.
Therefore, GCD of numbers 168, 492, 452, 896 is 4
Given Input Data is 168, 492, 452, 896
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(168, 492) = 6888
GCD(168, 492) = ( 168 x 492 ) / 6888
GCD(168, 492) = 82656 / 6888
GCD(168, 492) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 452) = 1356
GCD(12, 452) = ( 12 x 452 ) / 1356
GCD(12, 452) = 5424 / 1356
GCD(12, 452) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 896
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 896) = 896
GCD(4, 896) = ( 4 x 896 ) / 896
GCD(4, 896) = 3584 / 896
GCD(4, 896) = 4
GCD of 168, 492, 452, 896 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 492, 452, 896?
GCD of 168, 492, 452, 896 is 4
2. Where do I get the detailed procedure to find GCD of 168, 492, 452, 896?
You can find a detailed procedure to find GCD of 168, 492, 452, 896 on our page.
3. How to find GCD of 168, 492, 452, 896 on a calculator?
You can find the GCD of 168, 492, 452, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.