GCD of 438, 684, 705, 129 Calculator

Given Input numbers are 438, 684, 705, 129

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

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 (438, 684, 705, 129) = 3.

Given numbers are 438, 684, 705, 129

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 705 are 3 x 5 x 47

Prime factors of 129 are 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 438, 684, 705, 129 is 3.

Given numbers are 438, 684, 705, 129

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

Apply this formula for all numbers.

Step1:

LCM(438, 684) = 49932

GCD(438, 684) = ( 438 x 684 ) / 49932

= 438 / 684

= 438

Step2:

LCM(6, 705) = 1410

GCD(6, 705) = ( 6 x 705 ) / 1410

= 6 / 705

= 6

Step3:

LCM(3, 129) = 129

GCD(3, 129) = ( 3 x 129 ) / 129

= 3 / 129

= 3

So, Greatest Common Divisor of 438, 684, 705, 129 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 382, 267, 132
• GCD of 673, 503, 402, 775
• GCD of 480, 590, 131, 780
• GCD of 714, 657, 293, 861
• GCD of 881, 441, 529, 530

Given numbers are 438, 684, 705, 129
The greatest common divisor of numbers 438, 684, 705, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 684, 705, 129 is 3.

1. What is the GCD of 438, 684, 705, 129?

GCD of given numbers 438, 684, 705, 129 is 3

2. How to calculate the greatest common divisor of 438, 684, 705, 129?

We can find the highest common divisor of 438, 684, 705, 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 438, 684, 705, 129 i.e 3.

3. How can I use the GCD of 438, 684, 705, 129Calculator?

Out the numbers 438, 684, 705, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.