GCD of 399, 168, 294, 279 Calculator

Given Input numbers are 399, 168, 294, 279

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

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

GCD of numbers is the greatest common divisor

So, the GCD (399, 168, 294, 279) = 3.

Given numbers are 399, 168, 294, 279

The list of prime factors of all numbers are

Prime factors of 399 are 3 x 7 x 19

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

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 279 are 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 399, 168, 294, 279 is 3.

Given numbers are 399, 168, 294, 279

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

Apply this formula for all numbers.

Step1:

LCM(399, 168) = 3192

GCD(399, 168) = ( 399 x 168 ) / 3192

= 399 / 168

= 399

Step2:

LCM(21, 294) = 294

GCD(21, 294) = ( 21 x 294 ) / 294

= 21 / 294

= 21

Step3:

LCM(21, 279) = 1953

GCD(21, 279) = ( 21 x 279 ) / 1953

= 21 / 279

= 21

So, Greatest Common Divisor of 399, 168, 294, 279 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 474, 359, 518
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• GCD of 196, 983, 820, 719
• GCD of 820, 622, 225, 983
• GCD of 156, 191, 886, 971

Given numbers are 399, 168, 294, 279
The greatest common divisor of numbers 399, 168, 294, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 168, 294, 279 is 3.

1. What is the GCD of 399, 168, 294, 279?

GCD of given numbers 399, 168, 294, 279 is 3

2. How to calculate the greatest common divisor of 399, 168, 294, 279?

We can find the highest common divisor of 399, 168, 294, 279 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 399, 168, 294, 279 i.e 3.

3. How can I use the GCD of 399, 168, 294, 279Calculator?

Out the numbers 399, 168, 294, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.