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, 875, 16, 205 i.e. 1 largest integer that divides all the numbers equally.
GCD of 651, 875, 16, 205 is 1
GCD(651, 875, 16, 205) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 651, 875, 16, 205 is 1
GCD(651, 875, 16, 205) = 1
Given Input numbers are 651, 875, 16, 205
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 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Greatest Common Divisior
We found the divisors of 651, 875, 16, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 651, 875, 16, 205 is 1.
Therefore, GCD of numbers 651, 875, 16, 205 is 1
Given Input Data is 651, 875, 16, 205
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 875 is 5 x 5 x 5 x 7
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 205 is 5 x 41
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, 875) = 81375
GCD(651, 875) = ( 651 x 875 ) / 81375
GCD(651, 875) = 569625 / 81375
GCD(651, 875) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 16) = 112
GCD(7, 16) = ( 7 x 16 ) / 112
GCD(7, 16) = 112 / 112
GCD(7, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 205) = 205
GCD(1, 205) = ( 1 x 205 ) / 205
GCD(1, 205) = 205 / 205
GCD(1, 205) = 1
GCD of 651, 875, 16, 205 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 651, 875, 16, 205?
GCD of 651, 875, 16, 205 is 1
2. Where do I get the detailed procedure to find GCD of 651, 875, 16, 205?
You can find a detailed procedure to find GCD of 651, 875, 16, 205 on our page.
3. How to find GCD of 651, 875, 16, 205 on a calculator?
You can find the GCD of 651, 875, 16, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.