GCD of 747, 396, 168, 819 Calculator

Given Input numbers are 747, 396, 168, 819

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

GCD of numbers is the greatest common divisor

So, the GCD (747, 396, 168, 819) = 3.

Given numbers are 747, 396, 168, 819

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 819 are 3 x 3 x 7 x 13

The highest common occurrence is 3¹

Therefore, GCD of 747, 396, 168, 819 is 3.

Given numbers are 747, 396, 168, 819

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

Apply this formula for all numbers.

Step1:

LCM(747, 396) = 32868

GCD(747, 396) = ( 747 x 396 ) / 32868

= 747 / 396

= 747

Step2:

LCM(9, 168) = 504

GCD(9, 168) = ( 9 x 168 ) / 504

= 9 / 168

= 9

Step3:

LCM(3, 819) = 819

GCD(3, 819) = ( 3 x 819 ) / 819

= 3 / 819

= 3

So, Greatest Common Divisor of 747, 396, 168, 819 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 898, 132, 612
• GCD of 104, 206, 835, 155
• GCD of 989, 959, 832, 921
• GCD of 863, 964, 168, 268
• GCD of 618, 267, 922, 445

Given numbers are 747, 396, 168, 819
The greatest common divisor of numbers 747, 396, 168, 819 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 396, 168, 819 is 3.

1. What is the GCD of 747, 396, 168, 819?

GCD of given numbers 747, 396, 168, 819 is 3

2. How to calculate the greatest common divisor of 747, 396, 168, 819?

We can find the highest common divisor of 747, 396, 168, 819 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 747, 396, 168, 819 i.e 3.

3. How can I use the GCD of 747, 396, 168, 819Calculator?

Out the numbers 747, 396, 168, 819 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.