GCD of 987, 405, 580, 105 Calculator

Given Input numbers are 987, 405, 580, 105

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 405 :

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

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (987, 405, 580, 105) = 1.

Given numbers are 987, 405, 580, 105

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

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

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 105 are 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 987, 405, 580, 105

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

Apply this formula for all numbers.

Step1:

LCM(987, 405) = 133245

GCD(987, 405) = ( 987 x 405 ) / 133245

= 987 / 405

= 987

Step2:

LCM(3, 580) = 1740

GCD(3, 580) = ( 3 x 580 ) / 1740

= 3 / 580

= 3

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 987, 405, 580, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 929, 905, 512
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Given numbers are 987, 405, 580, 105
The greatest common divisor of numbers 987, 405, 580, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 405, 580, 105 is 1.

1. What is the GCD of 987, 405, 580, 105?

GCD of given numbers 987, 405, 580, 105 is 1

2. How to calculate the greatest common divisor of 987, 405, 580, 105?

We can find the highest common divisor of 987, 405, 580, 105 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 987, 405, 580, 105 i.e 1.

3. How can I use the GCD of 987, 405, 580, 105Calculator?

Out the numbers 987, 405, 580, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.