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, 109, 61, 260 i.e. 1 largest integer that divides all the numbers equally.
GCD of 661, 109, 61, 260 is 1
GCD(661, 109, 61, 260) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 661, 109, 61, 260 is 1
GCD(661, 109, 61, 260) = 1
Given Input numbers are 661, 109, 61, 260
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 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Greatest Common Divisior
We found the divisors of 661, 109, 61, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 661, 109, 61, 260 is 1.
Therefore, GCD of numbers 661, 109, 61, 260 is 1
Given Input Data is 661, 109, 61, 260
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 661 is 661
Prime Factorization of 109 is 109
Prime Factorization of 61 is 61
Prime Factorization of 260 is 2 x 2 x 5 x 13
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, 109) = 72049
GCD(661, 109) = ( 661 x 109 ) / 72049
GCD(661, 109) = 72049 / 72049
GCD(661, 109) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 260
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 260) = 260
GCD(1, 260) = ( 1 x 260 ) / 260
GCD(1, 260) = 260 / 260
GCD(1, 260) = 1
GCD of 661, 109, 61, 260 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 661, 109, 61, 260?
GCD of 661, 109, 61, 260 is 1
2. Where do I get the detailed procedure to find GCD of 661, 109, 61, 260?
You can find a detailed procedure to find GCD of 661, 109, 61, 260 on our page.
3. How to find GCD of 661, 109, 61, 260 on a calculator?
You can find the GCD of 661, 109, 61, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.