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, 213, 904, 766 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 213, 904, 766 is 1
GCD(177, 213, 904, 766) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 213, 904, 766 is 1
GCD(177, 213, 904, 766) = 1
Given Input numbers are 177, 213, 904, 766
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 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Greatest Common Divisior
We found the divisors of 177, 213, 904, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 213, 904, 766 is 1.
Therefore, GCD of numbers 177, 213, 904, 766 is 1
Given Input Data is 177, 213, 904, 766
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 213 is 3 x 71
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 766 is 2 x 383
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, 213) = 12567
GCD(177, 213) = ( 177 x 213 ) / 12567
GCD(177, 213) = 37701 / 12567
GCD(177, 213) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 904) = 2712
GCD(3, 904) = ( 3 x 904 ) / 2712
GCD(3, 904) = 2712 / 2712
GCD(3, 904) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 766
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 766) = 766
GCD(1, 766) = ( 1 x 766 ) / 766
GCD(1, 766) = 766 / 766
GCD(1, 766) = 1
GCD of 177, 213, 904, 766 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 213, 904, 766?
GCD of 177, 213, 904, 766 is 1
2. Where do I get the detailed procedure to find GCD of 177, 213, 904, 766?
You can find a detailed procedure to find GCD of 177, 213, 904, 766 on our page.
3. How to find GCD of 177, 213, 904, 766 on a calculator?
You can find the GCD of 177, 213, 904, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.