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 95, 377, 512, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 95, 377, 512, 177 is 1
GCD(95, 377, 512, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 95, 377, 512, 177 is 1
GCD(95, 377, 512, 177) = 1
Given Input numbers are 95, 377, 512, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 95, 377, 512, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 377, 512, 177 is 1.
Therefore, GCD of numbers 95, 377, 512, 177 is 1
Given Input Data is 95, 377, 512, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 95 is 5 x 19
Prime Factorization of 377 is 13 x 29
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 177 is 3 x 59
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(95, 377) = 35815
GCD(95, 377) = ( 95 x 377 ) / 35815
GCD(95, 377) = 35815 / 35815
GCD(95, 377) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
GCD(1, 512) = 512 / 512
GCD(1, 512) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 95, 377, 512, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 95, 377, 512, 177?
GCD of 95, 377, 512, 177 is 1
2. Where do I get the detailed procedure to find GCD of 95, 377, 512, 177?
You can find a detailed procedure to find GCD of 95, 377, 512, 177 on our page.
3. How to find GCD of 95, 377, 512, 177 on a calculator?
You can find the GCD of 95, 377, 512, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.