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, 202, 94, 499 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 202, 94, 499 is 1
GCD(690, 202, 94, 499) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 202, 94, 499 is 1
GCD(690, 202, 94, 499) = 1
Given Input numbers are 690, 202, 94, 499
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 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Greatest Common Divisior
We found the divisors of 690, 202, 94, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 202, 94, 499 is 1.
Therefore, GCD of numbers 690, 202, 94, 499 is 1
Given Input Data is 690, 202, 94, 499
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 202 is 2 x 101
Prime Factorization of 94 is 2 x 47
Prime Factorization of 499 is 499
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, 202) = 69690
GCD(690, 202) = ( 690 x 202 ) / 69690
GCD(690, 202) = 139380 / 69690
GCD(690, 202) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 94) = 94
GCD(2, 94) = ( 2 x 94 ) / 94
GCD(2, 94) = 188 / 94
GCD(2, 94) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 499
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 499) = 998
GCD(2, 499) = ( 2 x 499 ) / 998
GCD(2, 499) = 998 / 998
GCD(2, 499) = 1
GCD of 690, 202, 94, 499 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 202, 94, 499?
GCD of 690, 202, 94, 499 is 1
2. Where do I get the detailed procedure to find GCD of 690, 202, 94, 499?
You can find a detailed procedure to find GCD of 690, 202, 94, 499 on our page.
3. How to find GCD of 690, 202, 94, 499 on a calculator?
You can find the GCD of 690, 202, 94, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.