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 464, 976, 290, 527 i.e. 1 largest integer that divides all the numbers equally.
GCD of 464, 976, 290, 527 is 1
GCD(464, 976, 290, 527) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 976, 290, 527 is 1
GCD(464, 976, 290, 527) = 1
Given Input numbers are 464, 976, 290, 527
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
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 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Greatest Common Divisior
We found the divisors of 464, 976, 290, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 976, 290, 527 is 1.
Therefore, GCD of numbers 464, 976, 290, 527 is 1
Given Input Data is 464, 976, 290, 527
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 527 is 17 x 31
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(464, 976) = 28304
GCD(464, 976) = ( 464 x 976 ) / 28304
GCD(464, 976) = 452864 / 28304
GCD(464, 976) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 290) = 2320
GCD(16, 290) = ( 16 x 290 ) / 2320
GCD(16, 290) = 4640 / 2320
GCD(16, 290) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 527
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 527) = 1054
GCD(2, 527) = ( 2 x 527 ) / 1054
GCD(2, 527) = 1054 / 1054
GCD(2, 527) = 1
GCD of 464, 976, 290, 527 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 464, 976, 290, 527?
GCD of 464, 976, 290, 527 is 1
2. Where do I get the detailed procedure to find GCD of 464, 976, 290, 527?
You can find a detailed procedure to find GCD of 464, 976, 290, 527 on our page.
3. How to find GCD of 464, 976, 290, 527 on a calculator?
You can find the GCD of 464, 976, 290, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.