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 675, 534, 47 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 534, 47 is 1
GCD(675, 534, 47) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 534, 47 is 1
GCD(675, 534, 47) = 1
Given Input numbers are 675, 534, 47
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
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 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Greatest Common Divisior
We found the divisors of 675, 534, 47 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 534, 47 is 1.
Therefore, GCD of numbers 675, 534, 47 is 1
Given Input Data is 675, 534, 47
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 47 is 47
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(675, 534) = 120150
GCD(675, 534) = ( 675 x 534 ) / 120150
GCD(675, 534) = 360450 / 120150
GCD(675, 534) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 47) = 141
GCD(3, 47) = ( 3 x 47 ) / 141
GCD(3, 47) = 141 / 141
GCD(3, 47) = 1
GCD of 675, 534, 47 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 534, 47?
GCD of 675, 534, 47 is 1
2. Where do I get the detailed procedure to find GCD of 675, 534, 47?
You can find a detailed procedure to find GCD of 675, 534, 47 on our page.
3. How to find GCD of 675, 534, 47 on a calculator?
You can find the GCD of 675, 534, 47 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.