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, 543, 468, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 543, 468, 745 is 1
GCD(920, 543, 468, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 543, 468, 745 is 1
GCD(920, 543, 468, 745) = 1
Given Input numbers are 920, 543, 468, 745
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 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 920, 543, 468, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 543, 468, 745 is 1.
Therefore, GCD of numbers 920, 543, 468, 745 is 1
Given Input Data is 920, 543, 468, 745
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 543 is 3 x 181
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 745 is 5 x 149
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, 543) = 499560
GCD(920, 543) = ( 920 x 543 ) / 499560
GCD(920, 543) = 499560 / 499560
GCD(920, 543) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 920, 543, 468, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 543, 468, 745?
GCD of 920, 543, 468, 745 is 1
2. Where do I get the detailed procedure to find GCD of 920, 543, 468, 745?
You can find a detailed procedure to find GCD of 920, 543, 468, 745 on our page.
3. How to find GCD of 920, 543, 468, 745 on a calculator?
You can find the GCD of 920, 543, 468, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.