GCD of 687, 279, 399, 180 Calculator

Given Input numbers are 687, 279, 399, 180

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

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (687, 279, 399, 180) = 3.

Given numbers are 687, 279, 399, 180

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 279 are 3 x 3 x 31

Prime factors of 399 are 3 x 7 x 19

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 687, 279, 399, 180 is 3.

Given numbers are 687, 279, 399, 180

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

Apply this formula for all numbers.

Step1:

LCM(687, 279) = 63891

GCD(687, 279) = ( 687 x 279 ) / 63891

= 687 / 279

= 687

Step2:

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

= 3 / 399

= 3

Step3:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

So, Greatest Common Divisor of 687, 279, 399, 180 is 3

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• GCD of 104, 567, 533, 447
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Given numbers are 687, 279, 399, 180
The greatest common divisor of numbers 687, 279, 399, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 279, 399, 180 is 3.

1. What is the GCD of 687, 279, 399, 180?

GCD of given numbers 687, 279, 399, 180 is 3

2. How to calculate the greatest common divisor of 687, 279, 399, 180?

We can find the highest common divisor of 687, 279, 399, 180 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 687, 279, 399, 180 i.e 3.

3. How can I use the GCD of 687, 279, 399, 180Calculator?

Out the numbers 687, 279, 399, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.