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 387, 392, 221, 920 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 392, 221, 920 is 1
GCD(387, 392, 221, 920) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 392, 221, 920 is 1
GCD(387, 392, 221, 920) = 1
Given Input numbers are 387, 392, 221, 920
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 387, 392, 221, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 392, 221, 920 is 1.
Therefore, GCD of numbers 387, 392, 221, 920 is 1
Given Input Data is 387, 392, 221, 920
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 221 is 13 x 17
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
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(387, 392) = 151704
GCD(387, 392) = ( 387 x 392 ) / 151704
GCD(387, 392) = 151704 / 151704
GCD(387, 392) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
GCD of 387, 392, 221, 920 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 392, 221, 920?
GCD of 387, 392, 221, 920 is 1
2. Where do I get the detailed procedure to find GCD of 387, 392, 221, 920?
You can find a detailed procedure to find GCD of 387, 392, 221, 920 on our page.
3. How to find GCD of 387, 392, 221, 920 on a calculator?
You can find the GCD of 387, 392, 221, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.