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 47, 532, 136, 838 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 532, 136, 838 is 1
GCD(47, 532, 136, 838) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 532, 136, 838 is 1
GCD(47, 532, 136, 838) = 1
Given Input numbers are 47, 532, 136, 838
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Greatest Common Divisior
We found the divisors of 47, 532, 136, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 532, 136, 838 is 1.
Therefore, GCD of numbers 47, 532, 136, 838 is 1
Given Input Data is 47, 532, 136, 838
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 838 is 2 x 419
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(47, 532) = 25004
GCD(47, 532) = ( 47 x 532 ) / 25004
GCD(47, 532) = 25004 / 25004
GCD(47, 532) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
GCD(1, 136) = 136 / 136
GCD(1, 136) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
GCD(1, 838) = 838 / 838
GCD(1, 838) = 1
GCD of 47, 532, 136, 838 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 532, 136, 838?
GCD of 47, 532, 136, 838 is 1
2. Where do I get the detailed procedure to find GCD of 47, 532, 136, 838?
You can find a detailed procedure to find GCD of 47, 532, 136, 838 on our page.
3. How to find GCD of 47, 532, 136, 838 on a calculator?
You can find the GCD of 47, 532, 136, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.