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, 499, 42, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 499, 42, 865 is 1
GCD(690, 499, 42, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 499, 42, 865 is 1
GCD(690, 499, 42, 865) = 1
Given Input numbers are 690, 499, 42, 865
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 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 690, 499, 42, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 499, 42, 865 is 1.
Therefore, GCD of numbers 690, 499, 42, 865 is 1
Given Input Data is 690, 499, 42, 865
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 499 is 499
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 865 is 5 x 173
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, 499) = 344310
GCD(690, 499) = ( 690 x 499 ) / 344310
GCD(690, 499) = 344310 / 344310
GCD(690, 499) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
GCD of 690, 499, 42, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 499, 42, 865?
GCD of 690, 499, 42, 865 is 1
2. Where do I get the detailed procedure to find GCD of 690, 499, 42, 865?
You can find a detailed procedure to find GCD of 690, 499, 42, 865 on our page.
3. How to find GCD of 690, 499, 42, 865 on a calculator?
You can find the GCD of 690, 499, 42, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.