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 976, 810, 634, 476 i.e. 2 largest integer that divides all the numbers equally.
GCD of 976, 810, 634, 476 is 2
GCD(976, 810, 634, 476) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 976, 810, 634, 476 is 2
GCD(976, 810, 634, 476) = 2
Given Input numbers are 976, 810, 634, 476
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
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
Greatest Common Divisior
We found the divisors of 976, 810, 634, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 810, 634, 476 is 2.
Therefore, GCD of numbers 976, 810, 634, 476 is 2
Given Input Data is 976, 810, 634, 476
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 634 is 2 x 317
Prime Factorization of 476 is 2 x 2 x 7 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(976, 810) = 395280
GCD(976, 810) = ( 976 x 810 ) / 395280
GCD(976, 810) = 790560 / 395280
GCD(976, 810) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 634) = 634
GCD(2, 634) = ( 2 x 634 ) / 634
GCD(2, 634) = 1268 / 634
GCD(2, 634) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 476) = 476
GCD(2, 476) = ( 2 x 476 ) / 476
GCD(2, 476) = 952 / 476
GCD(2, 476) = 2
GCD of 976, 810, 634, 476 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 976, 810, 634, 476?
GCD of 976, 810, 634, 476 is 2
2. Where do I get the detailed procedure to find GCD of 976, 810, 634, 476?
You can find a detailed procedure to find GCD of 976, 810, 634, 476 on our page.
3. How to find GCD of 976, 810, 634, 476 on a calculator?
You can find the GCD of 976, 810, 634, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.