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 268, 188, 471, 651 i.e. 1 largest integer that divides all the numbers equally.
GCD of 268, 188, 471, 651 is 1
GCD(268, 188, 471, 651) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 268, 188, 471, 651 is 1
GCD(268, 188, 471, 651) = 1
Given Input numbers are 268, 188, 471, 651
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
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 268, 188, 471, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 188, 471, 651 is 1.
Therefore, GCD of numbers 268, 188, 471, 651 is 1
Given Input Data is 268, 188, 471, 651
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 471 is 3 x 157
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(268, 188) = 12596
GCD(268, 188) = ( 268 x 188 ) / 12596
GCD(268, 188) = 50384 / 12596
GCD(268, 188) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 471
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 471) = 1884
GCD(4, 471) = ( 4 x 471 ) / 1884
GCD(4, 471) = 1884 / 1884
GCD(4, 471) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 651) = 651
GCD(1, 651) = ( 1 x 651 ) / 651
GCD(1, 651) = 651 / 651
GCD(1, 651) = 1
GCD of 268, 188, 471, 651 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 268, 188, 471, 651?
GCD of 268, 188, 471, 651 is 1
2. Where do I get the detailed procedure to find GCD of 268, 188, 471, 651?
You can find a detailed procedure to find GCD of 268, 188, 471, 651 on our page.
3. How to find GCD of 268, 188, 471, 651 on a calculator?
You can find the GCD of 268, 188, 471, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.