GCD of 585, 681, 108, 525 Calculator

Given Input numbers are 585, 681, 108, 525

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

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

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

GCD of numbers is the greatest common divisor

So, the GCD (585, 681, 108, 525) = 3.

Given numbers are 585, 681, 108, 525

The list of prime factors of all numbers are

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

Prime factors of 681 are 3 x 227

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 525 are 3 x 5 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 585, 681, 108, 525 is 3.

Given numbers are 585, 681, 108, 525

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

Apply this formula for all numbers.

Step1:

LCM(585, 681) = 132795

GCD(585, 681) = ( 585 x 681 ) / 132795

= 585 / 681

= 585

Step2:

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

= 3 / 108

= 3

Step3:

LCM(3, 525) = 525

GCD(3, 525) = ( 3 x 525 ) / 525

= 3 / 525

= 3

So, Greatest Common Divisor of 585, 681, 108, 525 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 798, 292, 347
• GCD of 672, 132, 582, 980
• GCD of 396, 829, 129, 338
• GCD of 408, 561, 695, 243
• GCD of 656, 372, 307, 184

Given numbers are 585, 681, 108, 525
The greatest common divisor of numbers 585, 681, 108, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 681, 108, 525 is 3.

1. What is the GCD of 585, 681, 108, 525?

GCD of given numbers 585, 681, 108, 525 is 3

2. How to calculate the greatest common divisor of 585, 681, 108, 525?

We can find the highest common divisor of 585, 681, 108, 525 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 585, 681, 108, 525 i.e 3.

3. How can I use the GCD of 585, 681, 108, 525Calculator?

Out the numbers 585, 681, 108, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.