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, 207, 167, 634 i.e. 1 largest integer that divides all the numbers equally.
GCD of 261, 207, 167, 634 is 1
GCD(261, 207, 167, 634) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 261, 207, 167, 634 is 1
GCD(261, 207, 167, 634) = 1
Given Input numbers are 261, 207, 167, 634
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 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 261, 207, 167, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 207, 167, 634 is 1.
Therefore, GCD of numbers 261, 207, 167, 634 is 1
Given Input Data is 261, 207, 167, 634
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 207 is 3 x 3 x 23
Prime Factorization of 167 is 167
Prime Factorization of 634 is 2 x 317
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, 207) = 6003
GCD(261, 207) = ( 261 x 207 ) / 6003
GCD(261, 207) = 54027 / 6003
GCD(261, 207) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 167) = 1503
GCD(9, 167) = ( 9 x 167 ) / 1503
GCD(9, 167) = 1503 / 1503
GCD(9, 167) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 634) = 634
GCD(1, 634) = ( 1 x 634 ) / 634
GCD(1, 634) = 634 / 634
GCD(1, 634) = 1
GCD of 261, 207, 167, 634 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 261, 207, 167, 634?
GCD of 261, 207, 167, 634 is 1
2. Where do I get the detailed procedure to find GCD of 261, 207, 167, 634?
You can find a detailed procedure to find GCD of 261, 207, 167, 634 on our page.
3. How to find GCD of 261, 207, 167, 634 on a calculator?
You can find the GCD of 261, 207, 167, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.