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GCD of 520, 106, 650, 524 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, 106, 650, 524 quickly. Get the easiest ways to solve the greatest common divisor of 520, 106, 650, 524 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 520, 106, 650, 524 with Factoring?

Given Input numbers are 520, 106, 650, 524

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 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524


GCD of numbers is the greatest common divisor

So, the GCD (520, 106, 650, 524) = 2.

Find GCD of 520, 106, 650, 524 using Prime Factorization

Given numbers are 520, 106, 650, 524

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 106 are 2 x 53

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 21

Therefore, GCD of 520, 106, 650, 524 is 2.

Steps to Calculate GCD of 520, 106, 650, 524 using LCM Formula

Given numbers are 520, 106, 650, 524

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

Apply this formula for all numbers.

Step1:

LCM(520, 106) = 27560

GCD(520, 106) = ( 520 x 106 ) / 27560

= 520 / 106

= 520


Step2:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2


Step3:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2


So, Greatest Common Divisor of 520, 106, 650, 524 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 520, 106, 650, 524

Given numbers are 520, 106, 650, 524
The greatest common divisor of numbers 520, 106, 650, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 106, 650, 524 is 2.

FAQs on GCD of 520, 106, 650, 524 Calculator

1. What is the GCD of 520, 106, 650, 524?

GCD of given numbers 520, 106, 650, 524 is 2


2. How to calculate the greatest common divisor of 520, 106, 650, 524?

We can find the highest common divisor of 520, 106, 650, 524 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, 106, 650, 524 i.e 2.


3. How can I use the GCD of 520, 106, 650, 524Calculator?

Out the numbers 520, 106, 650, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.