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 660, 535, 104, 249 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 535, 104, 249 is 1
GCD(660, 535, 104, 249) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 535, 104, 249 is 1
GCD(660, 535, 104, 249) = 1
Given Input numbers are 660, 535, 104, 249
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Greatest Common Divisior
We found the divisors of 660, 535, 104, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 535, 104, 249 is 1.
Therefore, GCD of numbers 660, 535, 104, 249 is 1
Given Input Data is 660, 535, 104, 249
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 535 is 5 x 107
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 249 is 3 x 83
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(660, 535) = 70620
GCD(660, 535) = ( 660 x 535 ) / 70620
GCD(660, 535) = 353100 / 70620
GCD(660, 535) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 104) = 520
GCD(5, 104) = ( 5 x 104 ) / 520
GCD(5, 104) = 520 / 520
GCD(5, 104) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
GCD(1, 249) = 249 / 249
GCD(1, 249) = 1
GCD of 660, 535, 104, 249 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 535, 104, 249?
GCD of 660, 535, 104, 249 is 1
2. Where do I get the detailed procedure to find GCD of 660, 535, 104, 249?
You can find a detailed procedure to find GCD of 660, 535, 104, 249 on our page.
3. How to find GCD of 660, 535, 104, 249 on a calculator?
You can find the GCD of 660, 535, 104, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.