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 651, 759, 582, 398 i.e. 1 largest integer that divides all the numbers equally.
GCD of 651, 759, 582, 398 is 1
GCD(651, 759, 582, 398) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 651, 759, 582, 398 is 1
GCD(651, 759, 582, 398) = 1
Given Input numbers are 651, 759, 582, 398
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Greatest Common Divisior
We found the divisors of 651, 759, 582, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 651, 759, 582, 398 is 1.
Therefore, GCD of numbers 651, 759, 582, 398 is 1
Given Input Data is 651, 759, 582, 398
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 398 is 2 x 199
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(651, 759) = 164703
GCD(651, 759) = ( 651 x 759 ) / 164703
GCD(651, 759) = 494109 / 164703
GCD(651, 759) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 582
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 582) = 582
GCD(3, 582) = ( 3 x 582 ) / 582
GCD(3, 582) = 1746 / 582
GCD(3, 582) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 398) = 1194
GCD(3, 398) = ( 3 x 398 ) / 1194
GCD(3, 398) = 1194 / 1194
GCD(3, 398) = 1
GCD of 651, 759, 582, 398 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 651, 759, 582, 398?
GCD of 651, 759, 582, 398 is 1
2. Where do I get the detailed procedure to find GCD of 651, 759, 582, 398?
You can find a detailed procedure to find GCD of 651, 759, 582, 398 on our page.
3. How to find GCD of 651, 759, 582, 398 on a calculator?
You can find the GCD of 651, 759, 582, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.