GCD of 396, 522, 972, 348 Calculator

Given Input numbers are 396, 522, 972, 348

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

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (396, 522, 972, 348) = 6.

Given numbers are 396, 522, 972, 348

The list of prime factors of all numbers are

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

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 396, 522, 972, 348 is 6.

Given numbers are 396, 522, 972, 348

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

Apply this formula for all numbers.

Step1:

LCM(396, 522) = 11484

GCD(396, 522) = ( 396 x 522 ) / 11484

= 396 / 522

= 396

Step2:

LCM(18, 972) = 972

GCD(18, 972) = ( 18 x 972 ) / 972

= 18 / 972

= 18

Step3:

LCM(18, 348) = 1044

GCD(18, 348) = ( 18 x 348 ) / 1044

= 18 / 348

= 18

So, Greatest Common Divisor of 396, 522, 972, 348 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 895, 261, 758
• GCD of 906, 974, 417, 780
• GCD of 685, 836, 272, 262
• GCD of 185, 941, 748, 565
• GCD of 725, 166, 481, 631

Given numbers are 396, 522, 972, 348
The greatest common divisor of numbers 396, 522, 972, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 522, 972, 348 is 6.

1. What is the GCD of 396, 522, 972, 348?

GCD of given numbers 396, 522, 972, 348 is 6

2. How to calculate the greatest common divisor of 396, 522, 972, 348?

We can find the highest common divisor of 396, 522, 972, 348 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 396, 522, 972, 348 i.e 6.

3. How can I use the GCD of 396, 522, 972, 348Calculator?

Out the numbers 396, 522, 972, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.