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 495, 977, 15 i.e. 1 largest integer that divides all the numbers equally.
GCD of 495, 977, 15 is 1
GCD(495, 977, 15) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 495, 977, 15 is 1
GCD(495, 977, 15) = 1
Given Input numbers are 495, 977, 15
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Greatest Common Divisior
We found the divisors of 495, 977, 15 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 977, 15 is 1.
Therefore, GCD of numbers 495, 977, 15 is 1
Given Input Data is 495, 977, 15
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 977 is 977
Prime Factorization of 15 is 3 x 5
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(495, 977) = 483615
GCD(495, 977) = ( 495 x 977 ) / 483615
GCD(495, 977) = 483615 / 483615
GCD(495, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
GCD of 495, 977, 15 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 495, 977, 15?
GCD of 495, 977, 15 is 1
2. Where do I get the detailed procedure to find GCD of 495, 977, 15?
You can find a detailed procedure to find GCD of 495, 977, 15 on our page.
3. How to find GCD of 495, 977, 15 on a calculator?
You can find the GCD of 495, 977, 15 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.