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 177, 452, 49, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 452, 49, 160 is 1
GCD(177, 452, 49, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 452, 49, 160 is 1
GCD(177, 452, 49, 160) = 1
Given Input numbers are 177, 452, 49, 160
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 177, 452, 49, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 452, 49, 160 is 1.
Therefore, GCD of numbers 177, 452, 49, 160 is 1
Given Input Data is 177, 452, 49, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 49 is 7 x 7
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(177, 452) = 80004
GCD(177, 452) = ( 177 x 452 ) / 80004
GCD(177, 452) = 80004 / 80004
GCD(177, 452) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 177, 452, 49, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 452, 49, 160?
GCD of 177, 452, 49, 160 is 1
2. Where do I get the detailed procedure to find GCD of 177, 452, 49, 160?
You can find a detailed procedure to find GCD of 177, 452, 49, 160 on our page.
3. How to find GCD of 177, 452, 49, 160 on a calculator?
You can find the GCD of 177, 452, 49, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.