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 661, 420, 288, 353 i.e. 1 largest integer that divides all the numbers equally.
GCD of 661, 420, 288, 353 is 1
GCD(661, 420, 288, 353) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 661, 420, 288, 353 is 1
GCD(661, 420, 288, 353) = 1
Given Input numbers are 661, 420, 288, 353
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Greatest Common Divisior
We found the divisors of 661, 420, 288, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 661, 420, 288, 353 is 1.
Therefore, GCD of numbers 661, 420, 288, 353 is 1
Given Input Data is 661, 420, 288, 353
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 661 is 661
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 353 is 353
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(661, 420) = 277620
GCD(661, 420) = ( 661 x 420 ) / 277620
GCD(661, 420) = 277620 / 277620
GCD(661, 420) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
GCD(1, 353) = 353 / 353
GCD(1, 353) = 1
GCD of 661, 420, 288, 353 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 661, 420, 288, 353?
GCD of 661, 420, 288, 353 is 1
2. Where do I get the detailed procedure to find GCD of 661, 420, 288, 353?
You can find a detailed procedure to find GCD of 661, 420, 288, 353 on our page.
3. How to find GCD of 661, 420, 288, 353 on a calculator?
You can find the GCD of 661, 420, 288, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.