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GCD of 520, 315, 556, 208 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 520, 315, 556, 208 quickly. Get the easiest ways to solve the greatest common divisor of 520, 315, 556, 208 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 520, 315, 556, 208 with Factoring?

Given Input numbers are 520, 315, 556, 208

In the factoring method, we have to find the divisors of all numbers

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208


GCD of numbers is the greatest common divisor

So, the GCD (520, 315, 556, 208) = 1.

Find GCD of 520, 315, 556, 208 using Prime Factorization

Given numbers are 520, 315, 556, 208

The list of prime factors of all numbers are

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 556 are 2 x 2 x 139

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 520, 315, 556, 208 using LCM Formula

Given numbers are 520, 315, 556, 208

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(520, 315) = 32760

GCD(520, 315) = ( 520 x 315 ) / 32760

= 520 / 315

= 520


Step2:

LCM(5, 556) = 2780

GCD(5, 556) = ( 5 x 556 ) / 2780

= 5 / 556

= 5


Step3:

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

= 1 / 208

= 1


So, Greatest Common Divisor of 520, 315, 556, 208 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 520, 315, 556, 208

Given numbers are 520, 315, 556, 208
The greatest common divisor of numbers 520, 315, 556, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 315, 556, 208 is 1.

FAQs on GCD of 520, 315, 556, 208 Calculator

1. What is the GCD of 520, 315, 556, 208?

GCD of given numbers 520, 315, 556, 208 is 1


2. How to calculate the greatest common divisor of 520, 315, 556, 208?

We can find the highest common divisor of 520, 315, 556, 208 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 520, 315, 556, 208 i.e 1.


3. How can I use the GCD of 520, 315, 556, 208Calculator?

Out the numbers 520, 315, 556, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.