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 456, 984, 520, 747 i.e. 1 largest integer that divides all the numbers equally.
GCD of 456, 984, 520, 747 is 1
GCD(456, 984, 520, 747) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 456, 984, 520, 747 is 1
GCD(456, 984, 520, 747) = 1
Given Input numbers are 456, 984, 520, 747
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Greatest Common Divisior
We found the divisors of 456, 984, 520, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 984, 520, 747 is 1.
Therefore, GCD of numbers 456, 984, 520, 747 is 1
Given Input Data is 456, 984, 520, 747
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 747 is 3 x 3 x 83
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(456, 984) = 18696
GCD(456, 984) = ( 456 x 984 ) / 18696
GCD(456, 984) = 448704 / 18696
GCD(456, 984) = 24
Step2:
Here we consider the GCD from the above i.e. 24 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(24, 520) = 1560
GCD(24, 520) = ( 24 x 520 ) / 1560
GCD(24, 520) = 12480 / 1560
GCD(24, 520) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 747) = 5976
GCD(8, 747) = ( 8 x 747 ) / 5976
GCD(8, 747) = 5976 / 5976
GCD(8, 747) = 1
GCD of 456, 984, 520, 747 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 456, 984, 520, 747?
GCD of 456, 984, 520, 747 is 1
2. Where do I get the detailed procedure to find GCD of 456, 984, 520, 747?
You can find a detailed procedure to find GCD of 456, 984, 520, 747 on our page.
3. How to find GCD of 456, 984, 520, 747 on a calculator?
You can find the GCD of 456, 984, 520, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.