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, 830, 66, 520 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 830, 66, 520 is 1
GCD(177, 830, 66, 520) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 830, 66, 520 is 1
GCD(177, 830, 66, 520) = 1
Given Input numbers are 177, 830, 66, 520
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 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Greatest Common Divisior
We found the divisors of 177, 830, 66, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 830, 66, 520 is 1.
Therefore, GCD of numbers 177, 830, 66, 520 is 1
Given Input Data is 177, 830, 66, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
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, 830) = 146910
GCD(177, 830) = ( 177 x 830 ) / 146910
GCD(177, 830) = 146910 / 146910
GCD(177, 830) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
GCD of 177, 830, 66, 520 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 830, 66, 520?
GCD of 177, 830, 66, 520 is 1
2. Where do I get the detailed procedure to find GCD of 177, 830, 66, 520?
You can find a detailed procedure to find GCD of 177, 830, 66, 520 on our page.
3. How to find GCD of 177, 830, 66, 520 on a calculator?
You can find the GCD of 177, 830, 66, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.