GCD of 561, 687, 444, 315 Calculator

Given Input numbers are 561, 687, 444, 315

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (561, 687, 444, 315) = 3.

Given numbers are 561, 687, 444, 315

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 687 are 3 x 229

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 315 are 3 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 561, 687, 444, 315 is 3.

Given numbers are 561, 687, 444, 315

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

Apply this formula for all numbers.

Step1:

LCM(561, 687) = 128469

GCD(561, 687) = ( 561 x 687 ) / 128469

= 561 / 687

= 561

Step2:

LCM(3, 444) = 444

GCD(3, 444) = ( 3 x 444 ) / 444

= 3 / 444

= 3

Step3:

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

= 3 / 315

= 3

So, Greatest Common Divisor of 561, 687, 444, 315 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 858, 135, 307
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• GCD of 739, 304, 318, 467

Given numbers are 561, 687, 444, 315
The greatest common divisor of numbers 561, 687, 444, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 687, 444, 315 is 3.

1. What is the GCD of 561, 687, 444, 315?

GCD of given numbers 561, 687, 444, 315 is 3

2. How to calculate the greatest common divisor of 561, 687, 444, 315?

We can find the highest common divisor of 561, 687, 444, 315 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 561, 687, 444, 315 i.e 3.

3. How can I use the GCD of 561, 687, 444, 315Calculator?

Out the numbers 561, 687, 444, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.