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, 699, 486, 904 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 699, 486, 904 is 1
GCD(177, 699, 486, 904) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 699, 486, 904 is 1
GCD(177, 699, 486, 904) = 1
Given Input numbers are 177, 699, 486, 904
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 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Greatest Common Divisior
We found the divisors of 177, 699, 486, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 699, 486, 904 is 1.
Therefore, GCD of numbers 177, 699, 486, 904 is 1
Given Input Data is 177, 699, 486, 904
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 699 is 3 x 233
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 904 is 2 x 2 x 2 x 113
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, 699) = 41241
GCD(177, 699) = ( 177 x 699 ) / 41241
GCD(177, 699) = 123723 / 41241
GCD(177, 699) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 486) = 486
GCD(3, 486) = ( 3 x 486 ) / 486
GCD(3, 486) = 1458 / 486
GCD(3, 486) = 3
Step3:
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
GCD of 177, 699, 486, 904 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 699, 486, 904?
GCD of 177, 699, 486, 904 is 1
2. Where do I get the detailed procedure to find GCD of 177, 699, 486, 904?
You can find a detailed procedure to find GCD of 177, 699, 486, 904 on our page.
3. How to find GCD of 177, 699, 486, 904 on a calculator?
You can find the GCD of 177, 699, 486, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.