GCD of 738, 414, 129 Calculator

Given Input numbers are 738, 414, 129

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 (738, 414, 129) = 3.

Given numbers are 738, 414, 129

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 129 are 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 738, 414, 129 is 3.

Given numbers are 738, 414, 129

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

Apply this formula for all numbers.

Step1:

LCM(738, 414) = 16974

GCD(738, 414) = ( 738 x 414 ) / 16974

= 738 / 414

= 738

Step2:

LCM(18, 129) = 774

GCD(18, 129) = ( 18 x 129 ) / 774

= 18 / 129

= 18

So, Greatest Common Divisor of 738, 414, 129 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 686, 275
• GCD of 880, 413, 627
• GCD of 267, 326, 695
• GCD of 198, 931, 757
• GCD of 539, 106, 668

Given numbers are 738, 414, 129
The greatest common divisor of numbers 738, 414, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 414, 129 is 3.

1. What is the GCD of 738, 414, 129?

GCD of given numbers 738, 414, 129 is 3

2. How to calculate the greatest common divisor of 738, 414, 129?

We can find the highest common divisor of 738, 414, 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 738, 414, 129 i.e 3.

3. How can I use the GCD of 738, 414, 129Calculator?

Out the numbers 738, 414, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.