GCD of 535, 390, 340, 405 Calculator

Given Input numbers are 535, 390, 340, 405

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

Divisors of 535 :

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

1, 5, 107, 535

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

GCD of numbers is the greatest common divisor

So, the GCD (535, 390, 340, 405) = 5.

Given numbers are 535, 390, 340, 405

The list of prime factors of all numbers are

Prime factors of 535 are 5 x 107

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 535, 390, 340, 405 is 5.

Given numbers are 535, 390, 340, 405

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

Apply this formula for all numbers.

Step1:

LCM(535, 390) = 41730

GCD(535, 390) = ( 535 x 390 ) / 41730

= 535 / 390

= 535

Step2:

LCM(5, 340) = 340

GCD(5, 340) = ( 5 x 340 ) / 340

= 5 / 340

= 5

Step3:

LCM(5, 405) = 405

GCD(5, 405) = ( 5 x 405 ) / 405

= 5 / 405

= 5

So, Greatest Common Divisor of 535, 390, 340, 405 is 5

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Given numbers are 535, 390, 340, 405
The greatest common divisor of numbers 535, 390, 340, 405 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 535, 390, 340, 405 is 5.

1. What is the GCD of 535, 390, 340, 405?

GCD of given numbers 535, 390, 340, 405 is 5

2. How to calculate the greatest common divisor of 535, 390, 340, 405?

We can find the highest common divisor of 535, 390, 340, 405 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 535, 390, 340, 405 i.e 5.

3. How can I use the GCD of 535, 390, 340, 405Calculator?

Out the numbers 535, 390, 340, 405 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.