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, 505, 20, 428 i.e. 1 largest integer that divides all the numbers equally.
GCD of 651, 505, 20, 428 is 1
GCD(651, 505, 20, 428) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 651, 505, 20, 428 is 1
GCD(651, 505, 20, 428) = 1
Given Input numbers are 651, 505, 20, 428
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 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 651, 505, 20, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 651, 505, 20, 428 is 1.
Therefore, GCD of numbers 651, 505, 20, 428 is 1
Given Input Data is 651, 505, 20, 428
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 505 is 5 x 101
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 428 is 2 x 2 x 107
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, 505) = 328755
GCD(651, 505) = ( 651 x 505 ) / 328755
GCD(651, 505) = 328755 / 328755
GCD(651, 505) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
GCD of 651, 505, 20, 428 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 651, 505, 20, 428?
GCD of 651, 505, 20, 428 is 1
2. Where do I get the detailed procedure to find GCD of 651, 505, 20, 428?
You can find a detailed procedure to find GCD of 651, 505, 20, 428 on our page.
3. How to find GCD of 651, 505, 20, 428 on a calculator?
You can find the GCD of 651, 505, 20, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.