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 512, 707, 180, 168 i.e. 1 largest integer that divides all the numbers equally.
GCD of 512, 707, 180, 168 is 1
GCD(512, 707, 180, 168) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 512, 707, 180, 168 is 1
GCD(512, 707, 180, 168) = 1
Given Input numbers are 512, 707, 180, 168
To find the GCD of numbers using factoring list out all the divisors of each number
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 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 512, 707, 180, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 707, 180, 168 is 1.
Therefore, GCD of numbers 512, 707, 180, 168 is 1
Given Input Data is 512, 707, 180, 168
Make a list of Prime Factors of all the given numbers initially
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 707 is 7 x 101
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
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(512, 707) = 361984
GCD(512, 707) = ( 512 x 707 ) / 361984
GCD(512, 707) = 361984 / 361984
GCD(512, 707) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
GCD of 512, 707, 180, 168 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 512, 707, 180, 168?
GCD of 512, 707, 180, 168 is 1
2. Where do I get the detailed procedure to find GCD of 512, 707, 180, 168?
You can find a detailed procedure to find GCD of 512, 707, 180, 168 on our page.
3. How to find GCD of 512, 707, 180, 168 on a calculator?
You can find the GCD of 512, 707, 180, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.