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 436, 796, 784, 211 i.e. 1 largest integer that divides all the numbers equally.
GCD of 436, 796, 784, 211 is 1
GCD(436, 796, 784, 211) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 796, 784, 211 is 1
GCD(436, 796, 784, 211) = 1
Given Input numbers are 436, 796, 784, 211
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Greatest Common Divisior
We found the divisors of 436, 796, 784, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 796, 784, 211 is 1.
Therefore, GCD of numbers 436, 796, 784, 211 is 1
Given Input Data is 436, 796, 784, 211
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 211 is 211
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(436, 796) = 86764
GCD(436, 796) = ( 436 x 796 ) / 86764
GCD(436, 796) = 347056 / 86764
GCD(436, 796) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 784) = 784
GCD(4, 784) = ( 4 x 784 ) / 784
GCD(4, 784) = 3136 / 784
GCD(4, 784) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 211
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 211) = 844
GCD(4, 211) = ( 4 x 211 ) / 844
GCD(4, 211) = 844 / 844
GCD(4, 211) = 1
GCD of 436, 796, 784, 211 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 796, 784, 211?
GCD of 436, 796, 784, 211 is 1
2. Where do I get the detailed procedure to find GCD of 436, 796, 784, 211?
You can find a detailed procedure to find GCD of 436, 796, 784, 211 on our page.
3. How to find GCD of 436, 796, 784, 211 on a calculator?
You can find the GCD of 436, 796, 784, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.