GCD of 810, 535, 520, 420 Calculator

Given Input numbers are 810, 535, 520, 420

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

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (810, 535, 520, 420) = 5.

Given numbers are 810, 535, 520, 420

The list of prime factors of all numbers are

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 535 are 5 x 107

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 810, 535, 520, 420 is 5.

Given numbers are 810, 535, 520, 420

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

Apply this formula for all numbers.

Step1:

LCM(810, 535) = 86670

GCD(810, 535) = ( 810 x 535 ) / 86670

= 810 / 535

= 810

Step2:

LCM(5, 520) = 520

GCD(5, 520) = ( 5 x 520 ) / 520

= 5 / 520

= 5

Step3:

LCM(5, 420) = 420

GCD(5, 420) = ( 5 x 420 ) / 420

= 5 / 420

= 5

So, Greatest Common Divisor of 810, 535, 520, 420 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 767, 588, 356
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Given numbers are 810, 535, 520, 420
The greatest common divisor of numbers 810, 535, 520, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 535, 520, 420 is 5.

1. What is the GCD of 810, 535, 520, 420?

GCD of given numbers 810, 535, 520, 420 is 5

2. How to calculate the greatest common divisor of 810, 535, 520, 420?

We can find the highest common divisor of 810, 535, 520, 420 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 810, 535, 520, 420 i.e 5.

3. How can I use the GCD of 810, 535, 520, 420Calculator?

Out the numbers 810, 535, 520, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.