GCD of 669, 507, 12, 675 Calculator

Given Input numbers are 669, 507, 12, 675

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

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (669, 507, 12, 675) = 3.

Given numbers are 669, 507, 12, 675

The list of prime factors of all numbers are

Prime factors of 669 are 3 x 223

Prime factors of 507 are 3 x 13 x 13

Prime factors of 12 are 2 x 2 x 3

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 669, 507, 12, 675 is 3.

Given numbers are 669, 507, 12, 675

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

Apply this formula for all numbers.

Step1:

LCM(669, 507) = 113061

GCD(669, 507) = ( 669 x 507 ) / 113061

= 669 / 507

= 669

Step2:

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

= 3 / 12

= 3

Step3:

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

= 3 / 675

= 3

So, Greatest Common Divisor of 669, 507, 12, 675 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 923, 44, 240
• GCD of 319, 252, 10, 507
• GCD of 849, 986, 20, 703
• GCD of 542, 293, 77, 275
• GCD of 988, 605, 83, 631

Given numbers are 669, 507, 12, 675
The greatest common divisor of numbers 669, 507, 12, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 669, 507, 12, 675 is 3.

1. What is the GCD of 669, 507, 12, 675?

GCD of given numbers 669, 507, 12, 675 is 3

2. How to calculate the greatest common divisor of 669, 507, 12, 675?

We can find the highest common divisor of 669, 507, 12, 675 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 669, 507, 12, 675 i.e 3.

3. How can I use the GCD of 669, 507, 12, 675Calculator?

Out the numbers 669, 507, 12, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.