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 365, 766, 861, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 766, 861, 261 is 1
GCD(365, 766, 861, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 766, 861, 261 is 1
GCD(365, 766, 861, 261) = 1
Given Input numbers are 365, 766, 861, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 365, 766, 861, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 766, 861, 261 is 1.
Therefore, GCD of numbers 365, 766, 861, 261 is 1
Given Input Data is 365, 766, 861, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 766 is 2 x 383
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 261 is 3 x 3 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(365, 766) = 279590
GCD(365, 766) = ( 365 x 766 ) / 279590
GCD(365, 766) = 279590 / 279590
GCD(365, 766) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 861) = 861
GCD(1, 861) = ( 1 x 861 ) / 861
GCD(1, 861) = 861 / 861
GCD(1, 861) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
GCD of 365, 766, 861, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 766, 861, 261?
GCD of 365, 766, 861, 261 is 1
2. Where do I get the detailed procedure to find GCD of 365, 766, 861, 261?
You can find a detailed procedure to find GCD of 365, 766, 861, 261 on our page.
3. How to find GCD of 365, 766, 861, 261 on a calculator?
You can find the GCD of 365, 766, 861, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.