GCD of 432, 132, 978, 435 Calculator

Given Input numbers are 432, 132, 978, 435

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

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 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 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

GCD of numbers is the greatest common divisor

So, the GCD (432, 132, 978, 435) = 3.

Given numbers are 432, 132, 978, 435

The list of prime factors of all numbers are

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

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

Prime factors of 978 are 2 x 3 x 163

Prime factors of 435 are 3 x 5 x 29

The highest common occurrence is 3¹

Therefore, GCD of 432, 132, 978, 435 is 3.

Given numbers are 432, 132, 978, 435

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

Apply this formula for all numbers.

Step1:

LCM(432, 132) = 4752

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

= 432 / 132

= 432

Step2:

LCM(12, 978) = 1956

GCD(12, 978) = ( 12 x 978 ) / 1956

= 12 / 978

= 12

Step3:

LCM(6, 435) = 870

GCD(6, 435) = ( 6 x 435 ) / 870

= 6 / 435

= 6

So, Greatest Common Divisor of 432, 132, 978, 435 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 480, 139, 505
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• GCD of 672, 659, 724, 177
• GCD of 214, 522, 409, 907
• GCD of 986, 870, 875, 790

Given numbers are 432, 132, 978, 435
The greatest common divisor of numbers 432, 132, 978, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 132, 978, 435 is 3.

1. What is the GCD of 432, 132, 978, 435?

GCD of given numbers 432, 132, 978, 435 is 3

2. How to calculate the greatest common divisor of 432, 132, 978, 435?

We can find the highest common divisor of 432, 132, 978, 435 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 432, 132, 978, 435 i.e 3.

3. How can I use the GCD of 432, 132, 978, 435Calculator?

Out the numbers 432, 132, 978, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.