Where do I get the detailed procedure to find GCD of 520, 598, 988?

You can find a detailed procedure to find GCD of 520, 598, 988 on our page.

How to find GCD of 520, 598, 988 on a calculator?

You can find the GCD of 520, 598, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 520, 598, 988 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, 598, 988 quickly. Get the easiest ways to solve the greatest common divisor of 520, 598, 988 i.e 26 in different methods as follows.

How to Find GCD of Numbers 520, 598, 988 with Factoring?

Given Input numbers are 520, 598, 988

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 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (520, 598, 988) = 26.

Find GCD of 520, 598, 988 using Prime Factorization

Given numbers are 520, 598, 988

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 598 are 2 x 13 x 23

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 13¹ x 2¹

Therefore, GCD of 520, 598, 988 is 26.

Steps to Calculate GCD of 520, 598, 988 using LCM Formula

Given numbers are 520, 598, 988

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

Apply this formula for all numbers.

Step1:

LCM(520, 598) = 11960

GCD(520, 598) = ( 520 x 598 ) / 11960

= 520 / 598

= 520

Step2:

LCM(26, 988) = 988

GCD(26, 988) = ( 26 x 988 ) / 988

= 26 / 988

= 26

So, Greatest Common Divisor of 520, 598, 988 is 26

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 520, 598, 988

Given numbers are 520, 598, 988
The greatest common divisor of numbers 520, 598, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 598, 988 is 26.

FAQs on GCD of 520, 598, 988 Calculator

1. What is the GCD of 520, 598, 988?

GCD of given numbers 520, 598, 988 is 26

2. How to calculate the greatest common divisor of 520, 598, 988?

We can find the highest common divisor of 520, 598, 988 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, 598, 988 i.e 26.

3. How can I use the GCD of 520, 598, 988Calculator?

Out the numbers 520, 598, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.