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 452, 136, 47, 945 i.e. 1 largest integer that divides all the numbers equally.
GCD of 452, 136, 47, 945 is 1
GCD(452, 136, 47, 945) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 452, 136, 47, 945 is 1
GCD(452, 136, 47, 945) = 1
Given Input numbers are 452, 136, 47, 945
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
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 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Greatest Common Divisior
We found the divisors of 452, 136, 47, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 136, 47, 945 is 1.
Therefore, GCD of numbers 452, 136, 47, 945 is 1
Given Input Data is 452, 136, 47, 945
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 47 is 47
Prime Factorization of 945 is 3 x 3 x 3 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(452, 136) = 15368
GCD(452, 136) = ( 452 x 136 ) / 15368
GCD(452, 136) = 61472 / 15368
GCD(452, 136) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 47) = 188
GCD(4, 47) = ( 4 x 47 ) / 188
GCD(4, 47) = 188 / 188
GCD(4, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
GCD(1, 945) = 945 / 945
GCD(1, 945) = 1
GCD of 452, 136, 47, 945 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 452, 136, 47, 945?
GCD of 452, 136, 47, 945 is 1
2. Where do I get the detailed procedure to find GCD of 452, 136, 47, 945?
You can find a detailed procedure to find GCD of 452, 136, 47, 945 on our page.
3. How to find GCD of 452, 136, 47, 945 on a calculator?
You can find the GCD of 452, 136, 47, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.