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 172, 784, 280, 195 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 784, 280, 195 is 1
GCD(172, 784, 280, 195) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 784, 280, 195 is 1
GCD(172, 784, 280, 195) = 1
Given Input numbers are 172, 784, 280, 195
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Greatest Common Divisior
We found the divisors of 172, 784, 280, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 784, 280, 195 is 1.
Therefore, GCD of numbers 172, 784, 280, 195 is 1
Given Input Data is 172, 784, 280, 195
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 195 is 3 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(172, 784) = 33712
GCD(172, 784) = ( 172 x 784 ) / 33712
GCD(172, 784) = 134848 / 33712
GCD(172, 784) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 280) = 280
GCD(4, 280) = ( 4 x 280 ) / 280
GCD(4, 280) = 1120 / 280
GCD(4, 280) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 195) = 780
GCD(4, 195) = ( 4 x 195 ) / 780
GCD(4, 195) = 780 / 780
GCD(4, 195) = 1
GCD of 172, 784, 280, 195 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 784, 280, 195?
GCD of 172, 784, 280, 195 is 1
2. Where do I get the detailed procedure to find GCD of 172, 784, 280, 195?
You can find a detailed procedure to find GCD of 172, 784, 280, 195 on our page.
3. How to find GCD of 172, 784, 280, 195 on a calculator?
You can find the GCD of 172, 784, 280, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.