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 20, 647, 527, 280 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 647, 527, 280 is 1
GCD(20, 647, 527, 280) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 647, 527, 280 is 1
GCD(20, 647, 527, 280) = 1
Given Input numbers are 20, 647, 527, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Greatest Common Divisior
We found the divisors of 20, 647, 527, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 647, 527, 280 is 1.
Therefore, GCD of numbers 20, 647, 527, 280 is 1
Given Input Data is 20, 647, 527, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 647 is 647
Prime Factorization of 527 is 17 x 31
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
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(20, 647) = 12940
GCD(20, 647) = ( 20 x 647 ) / 12940
GCD(20, 647) = 12940 / 12940
GCD(20, 647) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 527
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 527) = 527
GCD(1, 527) = ( 1 x 527 ) / 527
GCD(1, 527) = 527 / 527
GCD(1, 527) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
GCD(1, 280) = 280 / 280
GCD(1, 280) = 1
GCD of 20, 647, 527, 280 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 647, 527, 280?
GCD of 20, 647, 527, 280 is 1
2. Where do I get the detailed procedure to find GCD of 20, 647, 527, 280?
You can find a detailed procedure to find GCD of 20, 647, 527, 280 on our page.
3. How to find GCD of 20, 647, 527, 280 on a calculator?
You can find the GCD of 20, 647, 527, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.