GCD of 384, 711, 504, 351 Calculator

Given Input numbers are 384, 711, 504, 351

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (384, 711, 504, 351) = 3.

Given numbers are 384, 711, 504, 351

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 711 are 3 x 3 x 79

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 351 are 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 384, 711, 504, 351 is 3.

Given numbers are 384, 711, 504, 351

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

Apply this formula for all numbers.

Step1:

LCM(384, 711) = 91008

GCD(384, 711) = ( 384 x 711 ) / 91008

= 384 / 711

= 384

Step2:

LCM(3, 504) = 504

GCD(3, 504) = ( 3 x 504 ) / 504

= 3 / 504

= 3

Step3:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

So, Greatest Common Divisor of 384, 711, 504, 351 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 307, 612, 923
• GCD of 643, 114, 127, 467
• GCD of 768, 662, 405, 994
• GCD of 649, 334, 373, 370
• GCD of 787, 967, 137, 123

Given numbers are 384, 711, 504, 351
The greatest common divisor of numbers 384, 711, 504, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 711, 504, 351 is 3.

1. What is the GCD of 384, 711, 504, 351?

GCD of given numbers 384, 711, 504, 351 is 3

2. How to calculate the greatest common divisor of 384, 711, 504, 351?

We can find the highest common divisor of 384, 711, 504, 351 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 384, 711, 504, 351 i.e 3.

3. How can I use the GCD of 384, 711, 504, 351Calculator?

Out the numbers 384, 711, 504, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.