GCD of 327, 978, 924, 423 Calculator

Given Input numbers are 327, 978, 924, 423

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

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 978 :

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

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (327, 978, 924, 423) = 3.

Given numbers are 327, 978, 924, 423

The list of prime factors of all numbers are

Prime factors of 327 are 3 x 109

Prime factors of 978 are 2 x 3 x 163

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 423 are 3 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 327, 978, 924, 423 is 3.

Given numbers are 327, 978, 924, 423

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

Apply this formula for all numbers.

Step1:

LCM(327, 978) = 106602

GCD(327, 978) = ( 327 x 978 ) / 106602

= 327 / 978

= 327

Step2:

LCM(3, 924) = 924

GCD(3, 924) = ( 3 x 924 ) / 924

= 3 / 924

= 3

Step3:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3

So, Greatest Common Divisor of 327, 978, 924, 423 is 3

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Given numbers are 327, 978, 924, 423
The greatest common divisor of numbers 327, 978, 924, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 978, 924, 423 is 3.

1. What is the GCD of 327, 978, 924, 423?

GCD of given numbers 327, 978, 924, 423 is 3

2. How to calculate the greatest common divisor of 327, 978, 924, 423?

We can find the highest common divisor of 327, 978, 924, 423 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 327, 978, 924, 423 i.e 3.

3. How can I use the GCD of 327, 978, 924, 423Calculator?

Out the numbers 327, 978, 924, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.