GCD of 432, 906, 315, 981 Calculator

Given Input numbers are 432, 906, 315, 981

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 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

GCD of numbers is the greatest common divisor

So, the GCD (432, 906, 315, 981) = 3.

Given numbers are 432, 906, 315, 981

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 906 are 2 x 3 x 151

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 981 are 3 x 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 432, 906, 315, 981 is 3.

Given numbers are 432, 906, 315, 981

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

Apply this formula for all numbers.

Step1:

LCM(432, 906) = 65232

GCD(432, 906) = ( 432 x 906 ) / 65232

= 432 / 906

= 432

Step2:

LCM(6, 315) = 630

GCD(6, 315) = ( 6 x 315 ) / 630

= 6 / 315

= 6

Step3:

LCM(3, 981) = 981

GCD(3, 981) = ( 3 x 981 ) / 981

= 3 / 981

= 3

So, Greatest Common Divisor of 432, 906, 315, 981 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 267, 926, 543
• GCD of 347, 115, 704, 415
• GCD of 542, 997, 213, 522
• GCD of 927, 936, 517, 721
• GCD of 146, 722, 965, 135

Given numbers are 432, 906, 315, 981
The greatest common divisor of numbers 432, 906, 315, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 906, 315, 981 is 3.

1. What is the GCD of 432, 906, 315, 981?

GCD of given numbers 432, 906, 315, 981 is 3

2. How to calculate the greatest common divisor of 432, 906, 315, 981?

We can find the highest common divisor of 432, 906, 315, 981 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, 906, 315, 981 i.e 3.

3. How can I use the GCD of 432, 906, 315, 981Calculator?

Out the numbers 432, 906, 315, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.