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 784, 394, 66, 920 i.e. 2 largest integer that divides all the numbers equally.
GCD of 784, 394, 66, 920 is 2
GCD(784, 394, 66, 920) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 784, 394, 66, 920 is 2
GCD(784, 394, 66, 920) = 2
Given Input numbers are 784, 394, 66, 920
To find the GCD of numbers using factoring list out all the divisors of each number
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 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 784, 394, 66, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 394, 66, 920 is 2.
Therefore, GCD of numbers 784, 394, 66, 920 is 2
Given Input Data is 784, 394, 66, 920
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 394 is 2 x 197
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
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(784, 394) = 154448
GCD(784, 394) = ( 784 x 394 ) / 154448
GCD(784, 394) = 308896 / 154448
GCD(784, 394) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 66) = 66
GCD(2, 66) = ( 2 x 66 ) / 66
GCD(2, 66) = 132 / 66
GCD(2, 66) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 920) = 920
GCD(2, 920) = ( 2 x 920 ) / 920
GCD(2, 920) = 1840 / 920
GCD(2, 920) = 2
GCD of 784, 394, 66, 920 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 784, 394, 66, 920?
GCD of 784, 394, 66, 920 is 2
2. Where do I get the detailed procedure to find GCD of 784, 394, 66, 920?
You can find a detailed procedure to find GCD of 784, 394, 66, 920 on our page.
3. How to find GCD of 784, 394, 66, 920 on a calculator?
You can find the GCD of 784, 394, 66, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.