GCD of 873, 345, 387, 585 Calculator

Given Input numbers are 873, 345, 387, 585

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

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

GCD of numbers is the greatest common divisor

So, the GCD (873, 345, 387, 585) = 3.

Given numbers are 873, 345, 387, 585

The list of prime factors of all numbers are

Prime factors of 873 are 3 x 3 x 97

Prime factors of 345 are 3 x 5 x 23

Prime factors of 387 are 3 x 3 x 43

Prime factors of 585 are 3 x 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 873, 345, 387, 585 is 3.

Given numbers are 873, 345, 387, 585

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

Apply this formula for all numbers.

Step1:

LCM(873, 345) = 100395

GCD(873, 345) = ( 873 x 345 ) / 100395

= 873 / 345

= 873

Step2:

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

= 3 / 387

= 3

Step3:

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

= 3 / 585

= 3

So, Greatest Common Divisor of 873, 345, 387, 585 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 941, 309, 990
• GCD of 861, 497, 456, 160
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Given numbers are 873, 345, 387, 585
The greatest common divisor of numbers 873, 345, 387, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 345, 387, 585 is 3.

1. What is the GCD of 873, 345, 387, 585?

GCD of given numbers 873, 345, 387, 585 is 3

2. How to calculate the greatest common divisor of 873, 345, 387, 585?

We can find the highest common divisor of 873, 345, 387, 585 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 873, 345, 387, 585 i.e 3.

3. How can I use the GCD of 873, 345, 387, 585Calculator?

Out the numbers 873, 345, 387, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.