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, 852, 535, 457 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 852, 535, 457 is 1
GCD(47, 852, 535, 457) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 852, 535, 457 is 1
GCD(47, 852, 535, 457) = 1
Given Input numbers are 47, 852, 535, 457
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 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Greatest Common Divisior
We found the divisors of 47, 852, 535, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 852, 535, 457 is 1.
Therefore, GCD of numbers 47, 852, 535, 457 is 1
Given Input Data is 47, 852, 535, 457
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 535 is 5 x 107
Prime Factorization of 457 is 457
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, 852) = 40044
GCD(47, 852) = ( 47 x 852 ) / 40044
GCD(47, 852) = 40044 / 40044
GCD(47, 852) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 535) = 535
GCD(1, 535) = ( 1 x 535 ) / 535
GCD(1, 535) = 535 / 535
GCD(1, 535) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 457) = 457
GCD(1, 457) = ( 1 x 457 ) / 457
GCD(1, 457) = 457 / 457
GCD(1, 457) = 1
GCD of 47, 852, 535, 457 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 852, 535, 457?
GCD of 47, 852, 535, 457 is 1
2. Where do I get the detailed procedure to find GCD of 47, 852, 535, 457?
You can find a detailed procedure to find GCD of 47, 852, 535, 457 on our page.
3. How to find GCD of 47, 852, 535, 457 on a calculator?
You can find the GCD of 47, 852, 535, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.