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, 292, 277, 449 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 292, 277, 449 is 1
GCD(690, 292, 277, 449) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 292, 277, 449 is 1
GCD(690, 292, 277, 449) = 1
Given Input numbers are 690, 292, 277, 449
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 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Greatest Common Divisior
We found the divisors of 690, 292, 277, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 292, 277, 449 is 1.
Therefore, GCD of numbers 690, 292, 277, 449 is 1
Given Input Data is 690, 292, 277, 449
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 292 is 2 x 2 x 73
Prime Factorization of 277 is 277
Prime Factorization of 449 is 449
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, 292) = 100740
GCD(690, 292) = ( 690 x 292 ) / 100740
GCD(690, 292) = 201480 / 100740
GCD(690, 292) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 277) = 554
GCD(2, 277) = ( 2 x 277 ) / 554
GCD(2, 277) = 554 / 554
GCD(2, 277) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 449
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 449) = 449
GCD(1, 449) = ( 1 x 449 ) / 449
GCD(1, 449) = 449 / 449
GCD(1, 449) = 1
GCD of 690, 292, 277, 449 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 292, 277, 449?
GCD of 690, 292, 277, 449 is 1
2. Where do I get the detailed procedure to find GCD of 690, 292, 277, 449?
You can find a detailed procedure to find GCD of 690, 292, 277, 449 on our page.
3. How to find GCD of 690, 292, 277, 449 on a calculator?
You can find the GCD of 690, 292, 277, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.