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, 849, 778, 477 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 849, 778, 477 is 1
GCD(20, 849, 778, 477) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 849, 778, 477 is 1
GCD(20, 849, 778, 477) = 1
Given Input numbers are 20, 849, 778, 477
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 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 20, 849, 778, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 849, 778, 477 is 1.
Therefore, GCD of numbers 20, 849, 778, 477 is 1
Given Input Data is 20, 849, 778, 477
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 849 is 3 x 283
Prime Factorization of 778 is 2 x 389
Prime Factorization of 477 is 3 x 3 x 53
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, 849) = 16980
GCD(20, 849) = ( 20 x 849 ) / 16980
GCD(20, 849) = 16980 / 16980
GCD(20, 849) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
GCD(1, 477) = 477 / 477
GCD(1, 477) = 1
GCD of 20, 849, 778, 477 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 849, 778, 477?
GCD of 20, 849, 778, 477 is 1
2. Where do I get the detailed procedure to find GCD of 20, 849, 778, 477?
You can find a detailed procedure to find GCD of 20, 849, 778, 477 on our page.
3. How to find GCD of 20, 849, 778, 477 on a calculator?
You can find the GCD of 20, 849, 778, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.