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 920, 385, 763, 586 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 385, 763, 586 is 1
GCD(920, 385, 763, 586) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 385, 763, 586 is 1
GCD(920, 385, 763, 586) = 1
Given Input numbers are 920, 385, 763, 586
To find the GCD of numbers using factoring list out all the divisors of each number
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
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 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Greatest Common Divisior
We found the divisors of 920, 385, 763, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 385, 763, 586 is 1.
Therefore, GCD of numbers 920, 385, 763, 586 is 1
Given Input Data is 920, 385, 763, 586
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 763 is 7 x 109
Prime Factorization of 586 is 2 x 293
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(920, 385) = 70840
GCD(920, 385) = ( 920 x 385 ) / 70840
GCD(920, 385) = 354200 / 70840
GCD(920, 385) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 763) = 3815
GCD(5, 763) = ( 5 x 763 ) / 3815
GCD(5, 763) = 3815 / 3815
GCD(5, 763) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 586
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 586) = 586
GCD(1, 586) = ( 1 x 586 ) / 586
GCD(1, 586) = 586 / 586
GCD(1, 586) = 1
GCD of 920, 385, 763, 586 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 385, 763, 586?
GCD of 920, 385, 763, 586 is 1
2. Where do I get the detailed procedure to find GCD of 920, 385, 763, 586?
You can find a detailed procedure to find GCD of 920, 385, 763, 586 on our page.
3. How to find GCD of 920, 385, 763, 586 on a calculator?
You can find the GCD of 920, 385, 763, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.