GCD of 129, 399, 786, 678 Calculator

Given Input numbers are 129, 399, 786, 678

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

Divisors of 129 :

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

1, 3, 43, 129

Divisors of 399 :

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

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

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (129, 399, 786, 678) = 3.

Given numbers are 129, 399, 786, 678

The list of prime factors of all numbers are

Prime factors of 129 are 3 x 43

Prime factors of 399 are 3 x 7 x 19

Prime factors of 786 are 2 x 3 x 131

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 129, 399, 786, 678 is 3.

Given numbers are 129, 399, 786, 678

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

Apply this formula for all numbers.

Step1:

LCM(129, 399) = 17157

GCD(129, 399) = ( 129 x 399 ) / 17157

= 129 / 399

= 129

Step2:

LCM(3, 786) = 786

GCD(3, 786) = ( 3 x 786 ) / 786

= 3 / 786

= 3

Step3:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

So, Greatest Common Divisor of 129, 399, 786, 678 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 815, 237, 360
• GCD of 193, 534, 311, 286
• GCD of 109, 225, 999, 450
• GCD of 296, 536, 550, 972
• GCD of 188, 825, 656, 130

Given numbers are 129, 399, 786, 678
The greatest common divisor of numbers 129, 399, 786, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 399, 786, 678 is 3.

1. What is the GCD of 129, 399, 786, 678?

GCD of given numbers 129, 399, 786, 678 is 3

2. How to calculate the greatest common divisor of 129, 399, 786, 678?

We can find the highest common divisor of 129, 399, 786, 678 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 129, 399, 786, 678 i.e 3.

3. How can I use the GCD of 129, 399, 786, 678Calculator?

Out the numbers 129, 399, 786, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.