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, 427, 144, 948 i.e. 1 largest integer that divides all the numbers equally.
GCD of 452, 427, 144, 948 is 1
GCD(452, 427, 144, 948) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 452, 427, 144, 948 is 1
GCD(452, 427, 144, 948) = 1
Given Input numbers are 452, 427, 144, 948
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 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Greatest Common Divisior
We found the divisors of 452, 427, 144, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 427, 144, 948 is 1.
Therefore, GCD of numbers 452, 427, 144, 948 is 1
Given Input Data is 452, 427, 144, 948
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 427 is 7 x 61
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 948 is 2 x 2 x 3 x 79
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, 427) = 193004
GCD(452, 427) = ( 452 x 427 ) / 193004
GCD(452, 427) = 193004 / 193004
GCD(452, 427) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
GCD(1, 948) = 948 / 948
GCD(1, 948) = 1
GCD of 452, 427, 144, 948 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 452, 427, 144, 948?
GCD of 452, 427, 144, 948 is 1
2. Where do I get the detailed procedure to find GCD of 452, 427, 144, 948?
You can find a detailed procedure to find GCD of 452, 427, 144, 948 on our page.
3. How to find GCD of 452, 427, 144, 948 on a calculator?
You can find the GCD of 452, 427, 144, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.