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GCD of 520, 912, 112, 488 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, 912, 112, 488 quickly. Get the easiest ways to solve the greatest common divisor of 520, 912, 112, 488 i.e 8 in different methods as follows.

GCD of

How to Find GCD of Numbers 520, 912, 112, 488 with Factoring?

Given Input numbers are 520, 912, 112, 488

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 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488


GCD of numbers is the greatest common divisor

So, the GCD (520, 912, 112, 488) = 8.

Find GCD of 520, 912, 112, 488 using Prime Factorization

Given numbers are 520, 912, 112, 488

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 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 488 are 2 x 2 x 2 x 61

The highest common occurrence is 23

Therefore, GCD of 520, 912, 112, 488 is 8.

Steps to Calculate GCD of 520, 912, 112, 488 using LCM Formula

Given numbers are 520, 912, 112, 488

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

Apply this formula for all numbers.

Step1:

LCM(520, 912) = 59280

GCD(520, 912) = ( 520 x 912 ) / 59280

= 520 / 912

= 520


Step2:

LCM(8, 112) = 112

GCD(8, 112) = ( 8 x 112 ) / 112

= 8 / 112

= 8


Step3:

LCM(8, 488) = 488

GCD(8, 488) = ( 8 x 488 ) / 488

= 8 / 488

= 8


So, Greatest Common Divisor of 520, 912, 112, 488 is 8

GCD of Numbers Calculation Examples

Greatest Common Divisor of 520, 912, 112, 488

Given numbers are 520, 912, 112, 488
The greatest common divisor of numbers 520, 912, 112, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 912, 112, 488 is 8.

FAQs on GCD of 520, 912, 112, 488 Calculator

1. What is the GCD of 520, 912, 112, 488?

GCD of given numbers 520, 912, 112, 488 is 8


2. How to calculate the greatest common divisor of 520, 912, 112, 488?

We can find the highest common divisor of 520, 912, 112, 488 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, 912, 112, 488 i.e 8.


3. How can I use the GCD of 520, 912, 112, 488Calculator?

Out the numbers 520, 912, 112, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.