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 346, 587, 680, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 346, 587, 680, 261 is 1
GCD(346, 587, 680, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 346, 587, 680, 261 is 1
GCD(346, 587, 680, 261) = 1
Given Input numbers are 346, 587, 680, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
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 346, 587, 680, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 587, 680, 261 is 1.
Therefore, GCD of numbers 346, 587, 680, 261 is 1
Given Input Data is 346, 587, 680, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 346 is 2 x 173
Prime Factorization of 587 is 587
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
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(346, 587) = 203102
GCD(346, 587) = ( 346 x 587 ) / 203102
GCD(346, 587) = 203102 / 203102
GCD(346, 587) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
GCD(1, 680) = 680 / 680
GCD(1, 680) = 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 346, 587, 680, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 346, 587, 680, 261?
GCD of 346, 587, 680, 261 is 1
2. Where do I get the detailed procedure to find GCD of 346, 587, 680, 261?
You can find a detailed procedure to find GCD of 346, 587, 680, 261 on our page.
3. How to find GCD of 346, 587, 680, 261 on a calculator?
You can find the GCD of 346, 587, 680, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.