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, 396, 54, 175 i.e. 1 largest integer that divides all the numbers equally.
GCD of 534, 396, 54, 175 is 1
GCD(534, 396, 54, 175) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 534, 396, 54, 175 is 1
GCD(534, 396, 54, 175) = 1
Given Input numbers are 534, 396, 54, 175
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 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Greatest Common Divisior
We found the divisors of 534, 396, 54, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 396, 54, 175 is 1.
Therefore, GCD of numbers 534, 396, 54, 175 is 1
Given Input Data is 534, 396, 54, 175
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 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 175 is 5 x 5 x 7
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, 396) = 35244
GCD(534, 396) = ( 534 x 396 ) / 35244
GCD(534, 396) = 211464 / 35244
GCD(534, 396) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 54) = 54
GCD(6, 54) = ( 6 x 54 ) / 54
GCD(6, 54) = 324 / 54
GCD(6, 54) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 175) = 1050
GCD(6, 175) = ( 6 x 175 ) / 1050
GCD(6, 175) = 1050 / 1050
GCD(6, 175) = 1
GCD of 534, 396, 54, 175 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 534, 396, 54, 175?
GCD of 534, 396, 54, 175 is 1
2. Where do I get the detailed procedure to find GCD of 534, 396, 54, 175?
You can find a detailed procedure to find GCD of 534, 396, 54, 175 on our page.
3. How to find GCD of 534, 396, 54, 175 on a calculator?
You can find the GCD of 534, 396, 54, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.