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 490, 668, 655, 915 i.e. 1 largest integer that divides all the numbers equally.
GCD of 490, 668, 655, 915 is 1
GCD(490, 668, 655, 915) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 490, 668, 655, 915 is 1
GCD(490, 668, 655, 915) = 1
Given Input numbers are 490, 668, 655, 915
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Greatest Common Divisior
We found the divisors of 490, 668, 655, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 668, 655, 915 is 1.
Therefore, GCD of numbers 490, 668, 655, 915 is 1
Given Input Data is 490, 668, 655, 915
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 655 is 5 x 131
Prime Factorization of 915 is 3 x 5 x 61
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(490, 668) = 163660
GCD(490, 668) = ( 490 x 668 ) / 163660
GCD(490, 668) = 327320 / 163660
GCD(490, 668) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 655) = 1310
GCD(2, 655) = ( 2 x 655 ) / 1310
GCD(2, 655) = 1310 / 1310
GCD(2, 655) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 915) = 915
GCD(1, 915) = ( 1 x 915 ) / 915
GCD(1, 915) = 915 / 915
GCD(1, 915) = 1
GCD of 490, 668, 655, 915 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 490, 668, 655, 915?
GCD of 490, 668, 655, 915 is 1
2. Where do I get the detailed procedure to find GCD of 490, 668, 655, 915?
You can find a detailed procedure to find GCD of 490, 668, 655, 915 on our page.
3. How to find GCD of 490, 668, 655, 915 on a calculator?
You can find the GCD of 490, 668, 655, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.