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 520, 536, 107, 784 i.e. 1 largest integer that divides all the numbers equally.
GCD of 520, 536, 107, 784 is 1
GCD(520, 536, 107, 784) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 536, 107, 784 is 1
GCD(520, 536, 107, 784) = 1
Given Input numbers are 520, 536, 107, 784
To find the GCD of numbers using factoring list out all the divisors of each number
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 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Greatest Common Divisior
We found the divisors of 520, 536, 107, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 536, 107, 784 is 1.
Therefore, GCD of numbers 520, 536, 107, 784 is 1
Given Input Data is 520, 536, 107, 784
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 107 is 107
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
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(520, 536) = 34840
GCD(520, 536) = ( 520 x 536 ) / 34840
GCD(520, 536) = 278720 / 34840
GCD(520, 536) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 107) = 856
GCD(8, 107) = ( 8 x 107 ) / 856
GCD(8, 107) = 856 / 856
GCD(8, 107) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
GCD(1, 784) = 784 / 784
GCD(1, 784) = 1
GCD of 520, 536, 107, 784 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 536, 107, 784?
GCD of 520, 536, 107, 784 is 1
2. Where do I get the detailed procedure to find GCD of 520, 536, 107, 784?
You can find a detailed procedure to find GCD of 520, 536, 107, 784 on our page.
3. How to find GCD of 520, 536, 107, 784 on a calculator?
You can find the GCD of 520, 536, 107, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.