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, 190, 679, 730 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 190, 679, 730 is 1
GCD(690, 190, 679, 730) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 190, 679, 730 is 1
GCD(690, 190, 679, 730) = 1
Given Input numbers are 690, 190, 679, 730
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 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Greatest Common Divisior
We found the divisors of 690, 190, 679, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 190, 679, 730 is 1.
Therefore, GCD of numbers 690, 190, 679, 730 is 1
Given Input Data is 690, 190, 679, 730
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 190 is 2 x 5 x 19
Prime Factorization of 679 is 7 x 97
Prime Factorization of 730 is 2 x 5 x 73
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, 190) = 13110
GCD(690, 190) = ( 690 x 190 ) / 13110
GCD(690, 190) = 131100 / 13110
GCD(690, 190) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 679) = 6790
GCD(10, 679) = ( 10 x 679 ) / 6790
GCD(10, 679) = 6790 / 6790
GCD(10, 679) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
GCD(1, 730) = 730 / 730
GCD(1, 730) = 1
GCD of 690, 190, 679, 730 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 190, 679, 730?
GCD of 690, 190, 679, 730 is 1
2. Where do I get the detailed procedure to find GCD of 690, 190, 679, 730?
You can find a detailed procedure to find GCD of 690, 190, 679, 730 on our page.
3. How to find GCD of 690, 190, 679, 730 on a calculator?
You can find the GCD of 690, 190, 679, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.