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, 349, 97, 642 i.e. 1 largest integer that divides all the numbers equally.
GCD of 261, 349, 97, 642 is 1
GCD(261, 349, 97, 642) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 261, 349, 97, 642 is 1
GCD(261, 349, 97, 642) = 1
Given Input numbers are 261, 349, 97, 642
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 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Greatest Common Divisior
We found the divisors of 261, 349, 97, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 349, 97, 642 is 1.
Therefore, GCD of numbers 261, 349, 97, 642 is 1
Given Input Data is 261, 349, 97, 642
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 349 is 349
Prime Factorization of 97 is 97
Prime Factorization of 642 is 2 x 3 x 107
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, 349) = 91089
GCD(261, 349) = ( 261 x 349 ) / 91089
GCD(261, 349) = 91089 / 91089
GCD(261, 349) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 97) = 97
GCD(1, 97) = ( 1 x 97 ) / 97
GCD(1, 97) = 97 / 97
GCD(1, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 642
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 642) = 642
GCD(1, 642) = ( 1 x 642 ) / 642
GCD(1, 642) = 642 / 642
GCD(1, 642) = 1
GCD of 261, 349, 97, 642 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 261, 349, 97, 642?
GCD of 261, 349, 97, 642 is 1
2. Where do I get the detailed procedure to find GCD of 261, 349, 97, 642?
You can find a detailed procedure to find GCD of 261, 349, 97, 642 on our page.
3. How to find GCD of 261, 349, 97, 642 on a calculator?
You can find the GCD of 261, 349, 97, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.