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 690, 784, 73, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 784, 73, 564 is 1
GCD(690, 784, 73, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 784, 73, 564 is 1
GCD(690, 784, 73, 564) = 1
Given Input numbers are 690, 784, 73, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
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 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 690, 784, 73, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 784, 73, 564 is 1.
Therefore, GCD of numbers 690, 784, 73, 564 is 1
Given Input Data is 690, 784, 73, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 73 is 73
Prime Factorization of 564 is 2 x 2 x 3 x 47
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(690, 784) = 270480
GCD(690, 784) = ( 690 x 784 ) / 270480
GCD(690, 784) = 540960 / 270480
GCD(690, 784) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
GCD of 690, 784, 73, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 784, 73, 564?
GCD of 690, 784, 73, 564 is 1
2. Where do I get the detailed procedure to find GCD of 690, 784, 73, 564?
You can find a detailed procedure to find GCD of 690, 784, 73, 564 on our page.
3. How to find GCD of 690, 784, 73, 564 on a calculator?
You can find the GCD of 690, 784, 73, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.