GCD of 132, 102, 114, 738 Calculator

Given Input numbers are 132, 102, 114, 738

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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

GCD of numbers is the greatest common divisor

So, the GCD (132, 102, 114, 738) = 6.

Given numbers are 132, 102, 114, 738

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 102 are 2 x 3 x 17

Prime factors of 114 are 2 x 3 x 19

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 132, 102, 114, 738 is 6.

Given numbers are 132, 102, 114, 738

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

Apply this formula for all numbers.

Step1:

LCM(132, 102) = 2244

GCD(132, 102) = ( 132 x 102 ) / 2244

= 132 / 102

= 132

Step2:

LCM(6, 114) = 114

GCD(6, 114) = ( 6 x 114 ) / 114

= 6 / 114

= 6

Step3:

LCM(6, 738) = 738

GCD(6, 738) = ( 6 x 738 ) / 738

= 6 / 738

= 6

So, Greatest Common Divisor of 132, 102, 114, 738 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 596, 696, 547
• GCD of 113, 386, 264, 656
• GCD of 962, 572, 875, 253
• GCD of 528, 677, 313, 593
• GCD of 435, 913, 499, 375

Given numbers are 132, 102, 114, 738
The greatest common divisor of numbers 132, 102, 114, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 102, 114, 738 is 6.

1. What is the GCD of 132, 102, 114, 738?

GCD of given numbers 132, 102, 114, 738 is 6

2. How to calculate the greatest common divisor of 132, 102, 114, 738?

We can find the highest common divisor of 132, 102, 114, 738 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 132, 102, 114, 738 i.e 6.

3. How can I use the GCD of 132, 102, 114, 738Calculator?

Out the numbers 132, 102, 114, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.