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 537, 854, 743, 480 i.e. 1 largest integer that divides all the numbers equally.
GCD of 537, 854, 743, 480 is 1
GCD(537, 854, 743, 480) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 537, 854, 743, 480 is 1
GCD(537, 854, 743, 480) = 1
Given Input numbers are 537, 854, 743, 480
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Greatest Common Divisior
We found the divisors of 537, 854, 743, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 854, 743, 480 is 1.
Therefore, GCD of numbers 537, 854, 743, 480 is 1
Given Input Data is 537, 854, 743, 480
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 537 is 3 x 179
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 743 is 743
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
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(537, 854) = 458598
GCD(537, 854) = ( 537 x 854 ) / 458598
GCD(537, 854) = 458598 / 458598
GCD(537, 854) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
GCD(1, 743) = 743 / 743
GCD(1, 743) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
GCD(1, 480) = 480 / 480
GCD(1, 480) = 1
GCD of 537, 854, 743, 480 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 537, 854, 743, 480?
GCD of 537, 854, 743, 480 is 1
2. Where do I get the detailed procedure to find GCD of 537, 854, 743, 480?
You can find a detailed procedure to find GCD of 537, 854, 743, 480 on our page.
3. How to find GCD of 537, 854, 743, 480 on a calculator?
You can find the GCD of 537, 854, 743, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.