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 546, 878, 351 i.e. 1 largest integer that divides all the numbers equally.
GCD of 546, 878, 351 is 1
GCD(546, 878, 351) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 546, 878, 351 is 1
GCD(546, 878, 351) = 1
Given Input numbers are 546, 878, 351
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Greatest Common Divisior
We found the divisors of 546, 878, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 878, 351 is 1.
Therefore, GCD of numbers 546, 878, 351 is 1
Given Input Data is 546, 878, 351
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 878 is 2 x 439
Prime Factorization of 351 is 3 x 3 x 3 x 13
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(546, 878) = 239694
GCD(546, 878) = ( 546 x 878 ) / 239694
GCD(546, 878) = 479388 / 239694
GCD(546, 878) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 351) = 702
GCD(2, 351) = ( 2 x 351 ) / 702
GCD(2, 351) = 702 / 702
GCD(2, 351) = 1
GCD of 546, 878, 351 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 546, 878, 351?
GCD of 546, 878, 351 is 1
2. Where do I get the detailed procedure to find GCD of 546, 878, 351?
You can find a detailed procedure to find GCD of 546, 878, 351 on our page.
3. How to find GCD of 546, 878, 351 on a calculator?
You can find the GCD of 546, 878, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.