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, 407, 446, 922 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 407, 446, 922 is 1
GCD(690, 407, 446, 922) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 407, 446, 922 is 1
GCD(690, 407, 446, 922) = 1
Given Input numbers are 690, 407, 446, 922
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 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Greatest Common Divisior
We found the divisors of 690, 407, 446, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 407, 446, 922 is 1.
Therefore, GCD of numbers 690, 407, 446, 922 is 1
Given Input Data is 690, 407, 446, 922
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 407 is 11 x 37
Prime Factorization of 446 is 2 x 223
Prime Factorization of 922 is 2 x 461
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, 407) = 280830
GCD(690, 407) = ( 690 x 407 ) / 280830
GCD(690, 407) = 280830 / 280830
GCD(690, 407) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 446) = 446
GCD(1, 446) = ( 1 x 446 ) / 446
GCD(1, 446) = 446 / 446
GCD(1, 446) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
GCD(1, 922) = 922 / 922
GCD(1, 922) = 1
GCD of 690, 407, 446, 922 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 407, 446, 922?
GCD of 690, 407, 446, 922 is 1
2. Where do I get the detailed procedure to find GCD of 690, 407, 446, 922?
You can find a detailed procedure to find GCD of 690, 407, 446, 922 on our page.
3. How to find GCD of 690, 407, 446, 922 on a calculator?
You can find the GCD of 690, 407, 446, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.