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 545, 342, 80, 411 i.e. 1 largest integer that divides all the numbers equally.
GCD of 545, 342, 80, 411 is 1
GCD(545, 342, 80, 411) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 545, 342, 80, 411 is 1
GCD(545, 342, 80, 411) = 1
Given Input numbers are 545, 342, 80, 411
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Greatest Common Divisior
We found the divisors of 545, 342, 80, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 342, 80, 411 is 1.
Therefore, GCD of numbers 545, 342, 80, 411 is 1
Given Input Data is 545, 342, 80, 411
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 545 is 5 x 109
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 411 is 3 x 137
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(545, 342) = 186390
GCD(545, 342) = ( 545 x 342 ) / 186390
GCD(545, 342) = 186390 / 186390
GCD(545, 342) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 411
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 411) = 411
GCD(1, 411) = ( 1 x 411 ) / 411
GCD(1, 411) = 411 / 411
GCD(1, 411) = 1
GCD of 545, 342, 80, 411 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 545, 342, 80, 411?
GCD of 545, 342, 80, 411 is 1
2. Where do I get the detailed procedure to find GCD of 545, 342, 80, 411?
You can find a detailed procedure to find GCD of 545, 342, 80, 411 on our page.
3. How to find GCD of 545, 342, 80, 411 on a calculator?
You can find the GCD of 545, 342, 80, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.