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 552, 446, 57, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 446, 57, 149 is 1
GCD(552, 446, 57, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 446, 57, 149 is 1
GCD(552, 446, 57, 149) = 1
Given Input numbers are 552, 446, 57, 149
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 552, 446, 57, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 446, 57, 149 is 1.
Therefore, GCD of numbers 552, 446, 57, 149 is 1
Given Input Data is 552, 446, 57, 149
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 446 is 2 x 223
Prime Factorization of 57 is 3 x 19
Prime Factorization of 149 is 149
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(552, 446) = 123096
GCD(552, 446) = ( 552 x 446 ) / 123096
GCD(552, 446) = 246192 / 123096
GCD(552, 446) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
GCD of 552, 446, 57, 149 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 446, 57, 149?
GCD of 552, 446, 57, 149 is 1
2. Where do I get the detailed procedure to find GCD of 552, 446, 57, 149?
You can find a detailed procedure to find GCD of 552, 446, 57, 149 on our page.
3. How to find GCD of 552, 446, 57, 149 on a calculator?
You can find the GCD of 552, 446, 57, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.