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 471, 715, 78, 976 i.e. 1 largest integer that divides all the numbers equally.
GCD of 471, 715, 78, 976 is 1
GCD(471, 715, 78, 976) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 471, 715, 78, 976 is 1
GCD(471, 715, 78, 976) = 1
Given Input numbers are 471, 715, 78, 976
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
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
Greatest Common Divisior
We found the divisors of 471, 715, 78, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 715, 78, 976 is 1.
Therefore, GCD of numbers 471, 715, 78, 976 is 1
Given Input Data is 471, 715, 78, 976
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 471 is 3 x 157
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
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(471, 715) = 336765
GCD(471, 715) = ( 471 x 715 ) / 336765
GCD(471, 715) = 336765 / 336765
GCD(471, 715) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 976) = 976
GCD(1, 976) = ( 1 x 976 ) / 976
GCD(1, 976) = 976 / 976
GCD(1, 976) = 1
GCD of 471, 715, 78, 976 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 471, 715, 78, 976?
GCD of 471, 715, 78, 976 is 1
2. Where do I get the detailed procedure to find GCD of 471, 715, 78, 976?
You can find a detailed procedure to find GCD of 471, 715, 78, 976 on our page.
3. How to find GCD of 471, 715, 78, 976 on a calculator?
You can find the GCD of 471, 715, 78, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.