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, 155, 376, 448 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 155, 376, 448 is 1
GCD(177, 155, 376, 448) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 155, 376, 448 is 1
GCD(177, 155, 376, 448) = 1
Given Input numbers are 177, 155, 376, 448
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 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Greatest Common Divisior
We found the divisors of 177, 155, 376, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 155, 376, 448 is 1.
Therefore, GCD of numbers 177, 155, 376, 448 is 1
Given Input Data is 177, 155, 376, 448
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 155 is 5 x 31
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 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(177, 155) = 27435
GCD(177, 155) = ( 177 x 155 ) / 27435
GCD(177, 155) = 27435 / 27435
GCD(177, 155) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
GCD(1, 448) = 448 / 448
GCD(1, 448) = 1
GCD of 177, 155, 376, 448 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 155, 376, 448?
GCD of 177, 155, 376, 448 is 1
2. Where do I get the detailed procedure to find GCD of 177, 155, 376, 448?
You can find a detailed procedure to find GCD of 177, 155, 376, 448 on our page.
3. How to find GCD of 177, 155, 376, 448 on a calculator?
You can find the GCD of 177, 155, 376, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.