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 796, 532, 154, 432 i.e. 2 largest integer that divides all the numbers equally.
GCD of 796, 532, 154, 432 is 2
GCD(796, 532, 154, 432) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 796, 532, 154, 432 is 2
GCD(796, 532, 154, 432) = 2
Given Input numbers are 796, 532, 154, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 796, 532, 154, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 532, 154, 432 is 2.
Therefore, GCD of numbers 796, 532, 154, 432 is 2
Given Input Data is 796, 532, 154, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
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(796, 532) = 105868
GCD(796, 532) = ( 796 x 532 ) / 105868
GCD(796, 532) = 423472 / 105868
GCD(796, 532) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 154) = 308
GCD(4, 154) = ( 4 x 154 ) / 308
GCD(4, 154) = 616 / 308
GCD(4, 154) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 432) = 432
GCD(2, 432) = ( 2 x 432 ) / 432
GCD(2, 432) = 864 / 432
GCD(2, 432) = 2
GCD of 796, 532, 154, 432 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 796, 532, 154, 432?
GCD of 796, 532, 154, 432 is 2
2. Where do I get the detailed procedure to find GCD of 796, 532, 154, 432?
You can find a detailed procedure to find GCD of 796, 532, 154, 432 on our page.
3. How to find GCD of 796, 532, 154, 432 on a calculator?
You can find the GCD of 796, 532, 154, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.