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 777, 185, 15, 495 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 185, 15, 495 is 1
GCD(777, 185, 15, 495) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 185, 15, 495 is 1
GCD(777, 185, 15, 495) = 1
Given Input numbers are 777, 185, 15, 495
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Greatest Common Divisior
We found the divisors of 777, 185, 15, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 185, 15, 495 is 1.
Therefore, GCD of numbers 777, 185, 15, 495 is 1
Given Input Data is 777, 185, 15, 495
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 185 is 5 x 37
Prime Factorization of 15 is 3 x 5
Prime Factorization of 495 is 3 x 3 x 5 x 11
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(777, 185) = 3885
GCD(777, 185) = ( 777 x 185 ) / 3885
GCD(777, 185) = 143745 / 3885
GCD(777, 185) = 37
Step2:
Here we consider the GCD from the above i.e. 37 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(37, 15) = 555
GCD(37, 15) = ( 37 x 15 ) / 555
GCD(37, 15) = 555 / 555
GCD(37, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
GCD of 777, 185, 15, 495 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 185, 15, 495?
GCD of 777, 185, 15, 495 is 1
2. Where do I get the detailed procedure to find GCD of 777, 185, 15, 495?
You can find a detailed procedure to find GCD of 777, 185, 15, 495 on our page.
3. How to find GCD of 777, 185, 15, 495 on a calculator?
You can find the GCD of 777, 185, 15, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.