GCD of 369, 660, 132, 687 Calculator

Given Input numbers are 369, 660, 132, 687

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 687 :

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

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (369, 660, 132, 687) = 3.

Given numbers are 369, 660, 132, 687

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 369, 660, 132, 687 is 3.

Given numbers are 369, 660, 132, 687

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

Apply this formula for all numbers.

Step1:

LCM(369, 660) = 81180

GCD(369, 660) = ( 369 x 660 ) / 81180

= 369 / 660

= 369

Step2:

LCM(3, 132) = 132

GCD(3, 132) = ( 3 x 132 ) / 132

= 3 / 132

= 3

Step3:

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

= 3 / 687

= 3

So, Greatest Common Divisor of 369, 660, 132, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 848, 914, 277
• GCD of 850, 472, 839, 475
• GCD of 900, 137, 147, 754
• GCD of 573, 244, 704, 980
• GCD of 662, 188, 547, 412

Given numbers are 369, 660, 132, 687
The greatest common divisor of numbers 369, 660, 132, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 660, 132, 687 is 3.

1. What is the GCD of 369, 660, 132, 687?

GCD of given numbers 369, 660, 132, 687 is 3

2. How to calculate the greatest common divisor of 369, 660, 132, 687?

We can find the highest common divisor of 369, 660, 132, 687 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 369, 660, 132, 687 i.e 3.

3. How can I use the GCD of 369, 660, 132, 687Calculator?

Out the numbers 369, 660, 132, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.