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, 412, 672, 527 i.e. 1 largest integer that divides all the numbers equally.
GCD of 520, 412, 672, 527 is 1
GCD(520, 412, 672, 527) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 412, 672, 527 is 1
GCD(520, 412, 672, 527) = 1
Given Input numbers are 520, 412, 672, 527
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 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Greatest Common Divisior
We found the divisors of 520, 412, 672, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 412, 672, 527 is 1.
Therefore, GCD of numbers 520, 412, 672, 527 is 1
Given Input Data is 520, 412, 672, 527
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 412 is 2 x 2 x 103
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 527 is 17 x 31
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, 412) = 53560
GCD(520, 412) = ( 520 x 412 ) / 53560
GCD(520, 412) = 214240 / 53560
GCD(520, 412) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 672
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 672) = 672
GCD(4, 672) = ( 4 x 672 ) / 672
GCD(4, 672) = 2688 / 672
GCD(4, 672) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 527
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 527) = 2108
GCD(4, 527) = ( 4 x 527 ) / 2108
GCD(4, 527) = 2108 / 2108
GCD(4, 527) = 1
GCD of 520, 412, 672, 527 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 412, 672, 527?
GCD of 520, 412, 672, 527 is 1
2. Where do I get the detailed procedure to find GCD of 520, 412, 672, 527?
You can find a detailed procedure to find GCD of 520, 412, 672, 527 on our page.
3. How to find GCD of 520, 412, 672, 527 on a calculator?
You can find the GCD of 520, 412, 672, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.