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 470, 739, 50, 976 i.e. 1 largest integer that divides all the numbers equally.
GCD of 470, 739, 50, 976 is 1
GCD(470, 739, 50, 976) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 470, 739, 50, 976 is 1
GCD(470, 739, 50, 976) = 1
Given Input numbers are 470, 739, 50, 976
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
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 470, 739, 50, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 739, 50, 976 is 1.
Therefore, GCD of numbers 470, 739, 50, 976 is 1
Given Input Data is 470, 739, 50, 976
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 739 is 739
Prime Factorization of 50 is 2 x 5 x 5
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(470, 739) = 347330
GCD(470, 739) = ( 470 x 739 ) / 347330
GCD(470, 739) = 347330 / 347330
GCD(470, 739) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 50) = 50
GCD(1, 50) = ( 1 x 50 ) / 50
GCD(1, 50) = 50 / 50
GCD(1, 50) = 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 470, 739, 50, 976 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 470, 739, 50, 976?
GCD of 470, 739, 50, 976 is 1
2. Where do I get the detailed procedure to find GCD of 470, 739, 50, 976?
You can find a detailed procedure to find GCD of 470, 739, 50, 976 on our page.
3. How to find GCD of 470, 739, 50, 976 on a calculator?
You can find the GCD of 470, 739, 50, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.