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, 843, 100, 308 i.e. 1 largest integer that divides all the numbers equally.
GCD of 520, 843, 100, 308 is 1
GCD(520, 843, 100, 308) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 843, 100, 308 is 1
GCD(520, 843, 100, 308) = 1
Given Input numbers are 520, 843, 100, 308
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 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Greatest Common Divisior
We found the divisors of 520, 843, 100, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 843, 100, 308 is 1.
Therefore, GCD of numbers 520, 843, 100, 308 is 1
Given Input Data is 520, 843, 100, 308
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 843 is 3 x 281
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 308 is 2 x 2 x 7 x 11
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, 843) = 438360
GCD(520, 843) = ( 520 x 843 ) / 438360
GCD(520, 843) = 438360 / 438360
GCD(520, 843) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
GCD(1, 100) = 100 / 100
GCD(1, 100) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 308
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
GCD(1, 308) = 308 / 308
GCD(1, 308) = 1
GCD of 520, 843, 100, 308 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 843, 100, 308?
GCD of 520, 843, 100, 308 is 1
2. Where do I get the detailed procedure to find GCD of 520, 843, 100, 308?
You can find a detailed procedure to find GCD of 520, 843, 100, 308 on our page.
3. How to find GCD of 520, 843, 100, 308 on a calculator?
You can find the GCD of 520, 843, 100, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.