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 534, 341, 99, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 534, 341, 99, 349 is 1
GCD(534, 341, 99, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 534, 341, 99, 349 is 1
GCD(534, 341, 99, 349) = 1
Given Input numbers are 534, 341, 99, 349
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 534, 341, 99, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 341, 99, 349 is 1.
Therefore, GCD of numbers 534, 341, 99, 349 is 1
Given Input Data is 534, 341, 99, 349
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 341 is 11 x 31
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 349 is 349
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(534, 341) = 182094
GCD(534, 341) = ( 534 x 341 ) / 182094
GCD(534, 341) = 182094 / 182094
GCD(534, 341) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
GCD of 534, 341, 99, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 534, 341, 99, 349?
GCD of 534, 341, 99, 349 is 1
2. Where do I get the detailed procedure to find GCD of 534, 341, 99, 349?
You can find a detailed procedure to find GCD of 534, 341, 99, 349 on our page.
3. How to find GCD of 534, 341, 99, 349 on a calculator?
You can find the GCD of 534, 341, 99, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.