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 147, 539, 23, 159 i.e. 1 largest integer that divides all the numbers equally.
GCD of 147, 539, 23, 159 is 1
GCD(147, 539, 23, 159) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 147, 539, 23, 159 is 1
GCD(147, 539, 23, 159) = 1
Given Input numbers are 147, 539, 23, 159
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Greatest Common Divisior
We found the divisors of 147, 539, 23, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 539, 23, 159 is 1.
Therefore, GCD of numbers 147, 539, 23, 159 is 1
Given Input Data is 147, 539, 23, 159
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 23 is 23
Prime Factorization of 159 is 3 x 53
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(147, 539) = 1617
GCD(147, 539) = ( 147 x 539 ) / 1617
GCD(147, 539) = 79233 / 1617
GCD(147, 539) = 49
Step2:
Here we consider the GCD from the above i.e. 49 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(49, 23) = 1127
GCD(49, 23) = ( 49 x 23 ) / 1127
GCD(49, 23) = 1127 / 1127
GCD(49, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
GCD(1, 159) = 159 / 159
GCD(1, 159) = 1
GCD of 147, 539, 23, 159 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 147, 539, 23, 159?
GCD of 147, 539, 23, 159 is 1
2. Where do I get the detailed procedure to find GCD of 147, 539, 23, 159?
You can find a detailed procedure to find GCD of 147, 539, 23, 159 on our page.
3. How to find GCD of 147, 539, 23, 159 on a calculator?
You can find the GCD of 147, 539, 23, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.