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, 546, 17, 900 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 546, 17, 900 is 1
GCD(690, 546, 17, 900) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 546, 17, 900 is 1
GCD(690, 546, 17, 900) = 1
Given Input numbers are 690, 546, 17, 900
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 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Greatest Common Divisior
We found the divisors of 690, 546, 17, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 546, 17, 900 is 1.
Therefore, GCD of numbers 690, 546, 17, 900 is 1
Given Input Data is 690, 546, 17, 900
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 546 is 2 x 3 x 7 x 13
Prime Factorization of 17 is 17
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
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, 546) = 62790
GCD(690, 546) = ( 690 x 546 ) / 62790
GCD(690, 546) = 376740 / 62790
GCD(690, 546) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 17) = 102
GCD(6, 17) = ( 6 x 17 ) / 102
GCD(6, 17) = 102 / 102
GCD(6, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
GCD(1, 900) = 900 / 900
GCD(1, 900) = 1
GCD of 690, 546, 17, 900 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 546, 17, 900?
GCD of 690, 546, 17, 900 is 1
2. Where do I get the detailed procedure to find GCD of 690, 546, 17, 900?
You can find a detailed procedure to find GCD of 690, 546, 17, 900 on our page.
3. How to find GCD of 690, 546, 17, 900 on a calculator?
You can find the GCD of 690, 546, 17, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.