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 385, 720, 21, 926 i.e. 1 largest integer that divides all the numbers equally.
GCD of 385, 720, 21, 926 is 1
GCD(385, 720, 21, 926) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 385, 720, 21, 926 is 1
GCD(385, 720, 21, 926) = 1
Given Input numbers are 385, 720, 21, 926
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Greatest Common Divisior
We found the divisors of 385, 720, 21, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 720, 21, 926 is 1.
Therefore, GCD of numbers 385, 720, 21, 926 is 1
Given Input Data is 385, 720, 21, 926
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 21 is 3 x 7
Prime Factorization of 926 is 2 x 463
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(385, 720) = 55440
GCD(385, 720) = ( 385 x 720 ) / 55440
GCD(385, 720) = 277200 / 55440
GCD(385, 720) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 21) = 105
GCD(5, 21) = ( 5 x 21 ) / 105
GCD(5, 21) = 105 / 105
GCD(5, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 926) = 926
GCD(1, 926) = ( 1 x 926 ) / 926
GCD(1, 926) = 926 / 926
GCD(1, 926) = 1
GCD of 385, 720, 21, 926 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 385, 720, 21, 926?
GCD of 385, 720, 21, 926 is 1
2. Where do I get the detailed procedure to find GCD of 385, 720, 21, 926?
You can find a detailed procedure to find GCD of 385, 720, 21, 926 on our page.
3. How to find GCD of 385, 720, 21, 926 on a calculator?
You can find the GCD of 385, 720, 21, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.