GCD of 852, 648, 816, 129 Calculator

Given Input numbers are 852, 648, 816, 129

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 129 :

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

1, 3, 43, 129

GCD of numbers is the greatest common divisor

So, the GCD (852, 648, 816, 129) = 3.

Given numbers are 852, 648, 816, 129

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 129 are 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 852, 648, 816, 129 is 3.

Given numbers are 852, 648, 816, 129

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

Apply this formula for all numbers.

Step1:

LCM(852, 648) = 46008

GCD(852, 648) = ( 852 x 648 ) / 46008

= 852 / 648

= 852

Step2:

LCM(12, 816) = 816

GCD(12, 816) = ( 12 x 816 ) / 816

= 12 / 816

= 12

Step3:

LCM(12, 129) = 516

GCD(12, 129) = ( 12 x 129 ) / 516

= 12 / 129

= 12

So, Greatest Common Divisor of 852, 648, 816, 129 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 129, 203, 717
• GCD of 836, 229, 142, 239
• GCD of 465, 214, 173, 472
• GCD of 639, 101, 653, 256
• GCD of 771, 500, 669, 725

Given numbers are 852, 648, 816, 129
The greatest common divisor of numbers 852, 648, 816, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 648, 816, 129 is 3.

1. What is the GCD of 852, 648, 816, 129?

GCD of given numbers 852, 648, 816, 129 is 3

2. How to calculate the greatest common divisor of 852, 648, 816, 129?

We can find the highest common divisor of 852, 648, 816, 129 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 852, 648, 816, 129 i.e 3.

3. How can I use the GCD of 852, 648, 816, 129Calculator?

Out the numbers 852, 648, 816, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.