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 476, 462, 977 i.e. 1 largest integer that divides all the numbers equally.
GCD of 476, 462, 977 is 1
GCD(476, 462, 977) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 476, 462, 977 is 1
GCD(476, 462, 977) = 1
Given Input numbers are 476, 462, 977
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Greatest Common Divisior
We found the divisors of 476, 462, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 462, 977 is 1.
Therefore, GCD of numbers 476, 462, 977 is 1
Given Input Data is 476, 462, 977
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 977 is 977
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(476, 462) = 15708
GCD(476, 462) = ( 476 x 462 ) / 15708
GCD(476, 462) = 219912 / 15708
GCD(476, 462) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 977) = 13678
GCD(14, 977) = ( 14 x 977 ) / 13678
GCD(14, 977) = 13678 / 13678
GCD(14, 977) = 1
GCD of 476, 462, 977 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 476, 462, 977?
GCD of 476, 462, 977 is 1
2. Where do I get the detailed procedure to find GCD of 476, 462, 977?
You can find a detailed procedure to find GCD of 476, 462, 977 on our page.
3. How to find GCD of 476, 462, 977 on a calculator?
You can find the GCD of 476, 462, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.