GCD of 132, 432, 918, 525 Calculator

Given Input numbers are 132, 432, 918, 525

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

GCD of numbers is the greatest common divisor

So, the GCD (132, 432, 918, 525) = 3.

Given numbers are 132, 432, 918, 525

The list of prime factors of all numbers are

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

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 525 are 3 x 5 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 132, 432, 918, 525 is 3.

Given numbers are 132, 432, 918, 525

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

Apply this formula for all numbers.

Step1:

LCM(132, 432) = 4752

GCD(132, 432) = ( 132 x 432 ) / 4752

= 132 / 432

= 132

Step2:

LCM(12, 918) = 1836

GCD(12, 918) = ( 12 x 918 ) / 1836

= 12 / 918

= 12

Step3:

LCM(6, 525) = 1050

GCD(6, 525) = ( 6 x 525 ) / 1050

= 6 / 525

= 6

So, Greatest Common Divisor of 132, 432, 918, 525 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 703, 518, 241
• GCD of 676, 845, 984, 913
• GCD of 860, 554, 133, 396
• GCD of 382, 315, 373, 998
• GCD of 232, 232, 260, 985

Given numbers are 132, 432, 918, 525
The greatest common divisor of numbers 132, 432, 918, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 432, 918, 525 is 3.

1. What is the GCD of 132, 432, 918, 525?

GCD of given numbers 132, 432, 918, 525 is 3

2. How to calculate the greatest common divisor of 132, 432, 918, 525?

We can find the highest common divisor of 132, 432, 918, 525 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, 432, 918, 525 i.e 3.

3. How can I use the GCD of 132, 432, 918, 525Calculator?

Out the numbers 132, 432, 918, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.