GCD of 195, 129, 663, 156 Calculator

Given Input numbers are 195, 129, 663, 156

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (195, 129, 663, 156) = 3.

Given numbers are 195, 129, 663, 156

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 129 are 3 x 43

Prime factors of 663 are 3 x 13 x 17

Prime factors of 156 are 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 195, 129, 663, 156 is 3.

Given numbers are 195, 129, 663, 156

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

Apply this formula for all numbers.

Step1:

LCM(195, 129) = 8385

GCD(195, 129) = ( 195 x 129 ) / 8385

= 195 / 129

= 195

Step2:

LCM(3, 663) = 663

GCD(3, 663) = ( 3 x 663 ) / 663

= 3 / 663

= 3

Step3:

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

= 3 / 156

= 3

So, Greatest Common Divisor of 195, 129, 663, 156 is 3

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Given numbers are 195, 129, 663, 156
The greatest common divisor of numbers 195, 129, 663, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 129, 663, 156 is 3.

1. What is the GCD of 195, 129, 663, 156?

GCD of given numbers 195, 129, 663, 156 is 3

2. How to calculate the greatest common divisor of 195, 129, 663, 156?

We can find the highest common divisor of 195, 129, 663, 156 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 195, 129, 663, 156 i.e 3.

3. How can I use the GCD of 195, 129, 663, 156Calculator?

Out the numbers 195, 129, 663, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.