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 32, 518, 348, 651 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 518, 348, 651 is 1
GCD(32, 518, 348, 651) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 518, 348, 651 is 1
GCD(32, 518, 348, 651) = 1
Given Input numbers are 32, 518, 348, 651
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Greatest Common Divisior
We found the divisors of 32, 518, 348, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 518, 348, 651 is 1.
Therefore, GCD of numbers 32, 518, 348, 651 is 1
Given Input Data is 32, 518, 348, 651
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 651 is 3 x 7 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(32, 518) = 8288
GCD(32, 518) = ( 32 x 518 ) / 8288
GCD(32, 518) = 16576 / 8288
GCD(32, 518) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 348) = 348
GCD(2, 348) = ( 2 x 348 ) / 348
GCD(2, 348) = 696 / 348
GCD(2, 348) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 651) = 1302
GCD(2, 651) = ( 2 x 651 ) / 1302
GCD(2, 651) = 1302 / 1302
GCD(2, 651) = 1
GCD of 32, 518, 348, 651 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 518, 348, 651?
GCD of 32, 518, 348, 651 is 1
2. Where do I get the detailed procedure to find GCD of 32, 518, 348, 651?
You can find a detailed procedure to find GCD of 32, 518, 348, 651 on our page.
3. How to find GCD of 32, 518, 348, 651 on a calculator?
You can find the GCD of 32, 518, 348, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.