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 261, 626, 83, 609 i.e. 1 largest integer that divides all the numbers equally.
GCD of 261, 626, 83, 609 is 1
GCD(261, 626, 83, 609) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 261, 626, 83, 609 is 1
GCD(261, 626, 83, 609) = 1
Given Input numbers are 261, 626, 83, 609
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Greatest Common Divisior
We found the divisors of 261, 626, 83, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 626, 83, 609 is 1.
Therefore, GCD of numbers 261, 626, 83, 609 is 1
Given Input Data is 261, 626, 83, 609
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 626 is 2 x 313
Prime Factorization of 83 is 83
Prime Factorization of 609 is 3 x 7 x 29
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(261, 626) = 163386
GCD(261, 626) = ( 261 x 626 ) / 163386
GCD(261, 626) = 163386 / 163386
GCD(261, 626) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
GCD(1, 83) = 83 / 83
GCD(1, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 609
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 609) = 609
GCD(1, 609) = ( 1 x 609 ) / 609
GCD(1, 609) = 609 / 609
GCD(1, 609) = 1
GCD of 261, 626, 83, 609 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 261, 626, 83, 609?
GCD of 261, 626, 83, 609 is 1
2. Where do I get the detailed procedure to find GCD of 261, 626, 83, 609?
You can find a detailed procedure to find GCD of 261, 626, 83, 609 on our page.
3. How to find GCD of 261, 626, 83, 609 on a calculator?
You can find the GCD of 261, 626, 83, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.