GCD of 999, 978, 156, 963 Calculator

Given Input numbers are 999, 978, 156, 963

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

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 978 :

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

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

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

GCD of numbers is the greatest common divisor

So, the GCD (999, 978, 156, 963) = 3.

Given numbers are 999, 978, 156, 963

The list of prime factors of all numbers are

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 978 are 2 x 3 x 163

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 963 are 3 x 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 999, 978, 156, 963 is 3.

Given numbers are 999, 978, 156, 963

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

Apply this formula for all numbers.

Step1:

LCM(999, 978) = 325674

GCD(999, 978) = ( 999 x 978 ) / 325674

= 999 / 978

= 999

Step2:

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

= 3 / 156

= 3

Step3:

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

= 3 / 963

= 3

So, Greatest Common Divisor of 999, 978, 156, 963 is 3

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Given numbers are 999, 978, 156, 963
The greatest common divisor of numbers 999, 978, 156, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 978, 156, 963 is 3.

1. What is the GCD of 999, 978, 156, 963?

GCD of given numbers 999, 978, 156, 963 is 3

2. How to calculate the greatest common divisor of 999, 978, 156, 963?

We can find the highest common divisor of 999, 978, 156, 963 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 999, 978, 156, 963 i.e 3.

3. How can I use the GCD of 999, 978, 156, 963Calculator?

Out the numbers 999, 978, 156, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.