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 33, 847, 668, 784 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 847, 668, 784 is 1
GCD(33, 847, 668, 784) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 847, 668, 784 is 1
GCD(33, 847, 668, 784) = 1
Given Input numbers are 33, 847, 668, 784
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
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
Greatest Common Divisior
We found the divisors of 33, 847, 668, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 847, 668, 784 is 1.
Therefore, GCD of numbers 33, 847, 668, 784 is 1
Given Input Data is 33, 847, 668, 784
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
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(33, 847) = 2541
GCD(33, 847) = ( 33 x 847 ) / 2541
GCD(33, 847) = 27951 / 2541
GCD(33, 847) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 668
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 668) = 7348
GCD(11, 668) = ( 11 x 668 ) / 7348
GCD(11, 668) = 7348 / 7348
GCD(11, 668) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
GCD(1, 784) = 784 / 784
GCD(1, 784) = 1
GCD of 33, 847, 668, 784 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 847, 668, 784?
GCD of 33, 847, 668, 784 is 1
2. Where do I get the detailed procedure to find GCD of 33, 847, 668, 784?
You can find a detailed procedure to find GCD of 33, 847, 668, 784 on our page.
3. How to find GCD of 33, 847, 668, 784 on a calculator?
You can find the GCD of 33, 847, 668, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.