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, 577, 41, 118 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 577, 41, 118 is 1
GCD(177, 577, 41, 118) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 577, 41, 118 is 1
GCD(177, 577, 41, 118) = 1
Given Input numbers are 177, 577, 41, 118
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 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Greatest Common Divisior
We found the divisors of 177, 577, 41, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 577, 41, 118 is 1.
Therefore, GCD of numbers 177, 577, 41, 118 is 1
Given Input Data is 177, 577, 41, 118
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 577 is 577
Prime Factorization of 41 is 41
Prime Factorization of 118 is 2 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(177, 577) = 102129
GCD(177, 577) = ( 177 x 577 ) / 102129
GCD(177, 577) = 102129 / 102129
GCD(177, 577) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
GCD(1, 118) = 118 / 118
GCD(1, 118) = 1
GCD of 177, 577, 41, 118 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 577, 41, 118?
GCD of 177, 577, 41, 118 is 1
2. Where do I get the detailed procedure to find GCD of 177, 577, 41, 118?
You can find a detailed procedure to find GCD of 177, 577, 41, 118 on our page.
3. How to find GCD of 177, 577, 41, 118 on a calculator?
You can find the GCD of 177, 577, 41, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.