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GCD of 440, 410, 520, 300 Calculator

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


Online GCD Calculator is useful to find the GCD of 440, 410, 520, 300 quickly. Get the easiest ways to solve the greatest common divisor of 440, 410, 520, 300 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 440, 410, 520, 300 with Factoring?

Given Input numbers are 440, 410, 520, 300

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300


GCD of numbers is the greatest common divisor

So, the GCD (440, 410, 520, 300) = 10.

Find GCD of 440, 410, 520, 300 using Prime Factorization

Given numbers are 440, 410, 520, 300

The list of prime factors of all numbers are

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 410 are 2 x 5 x 41

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 21 x 51

Therefore, GCD of 440, 410, 520, 300 is 10.

Steps to Calculate GCD of 440, 410, 520, 300 using LCM Formula

Given numbers are 440, 410, 520, 300

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

Apply this formula for all numbers.

Step1:

LCM(440, 410) = 18040

GCD(440, 410) = ( 440 x 410 ) / 18040

= 440 / 410

= 440


Step2:

LCM(10, 520) = 520

GCD(10, 520) = ( 10 x 520 ) / 520

= 10 / 520

= 10


Step3:

LCM(10, 300) = 300

GCD(10, 300) = ( 10 x 300 ) / 300

= 10 / 300

= 10


So, Greatest Common Divisor of 440, 410, 520, 300 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 440, 410, 520, 300

Given numbers are 440, 410, 520, 300
The greatest common divisor of numbers 440, 410, 520, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 410, 520, 300 is 10.

FAQs on GCD of 440, 410, 520, 300 Calculator

1. What is the GCD of 440, 410, 520, 300?

GCD of given numbers 440, 410, 520, 300 is 10


2. How to calculate the greatest common divisor of 440, 410, 520, 300?

We can find the highest common divisor of 440, 410, 520, 300 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 440, 410, 520, 300 i.e 10.


3. How can I use the GCD of 440, 410, 520, 300Calculator?

Out the numbers 440, 410, 520, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.