GCD of 384, 402, 514, 532 Calculator

Given Input numbers are 384, 402, 514, 532

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 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

GCD of numbers is the greatest common divisor

So, the GCD (384, 402, 514, 532) = 2.

Given numbers are 384, 402, 514, 532

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 402 are 2 x 3 x 67

Prime factors of 514 are 2 x 257

Prime factors of 532 are 2 x 2 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 384, 402, 514, 532 is 2.

Given numbers are 384, 402, 514, 532

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

Apply this formula for all numbers.

Step1:

LCM(384, 402) = 25728

GCD(384, 402) = ( 384 x 402 ) / 25728

= 384 / 402

= 384

Step2:

LCM(6, 514) = 1542

GCD(6, 514) = ( 6 x 514 ) / 1542

= 6 / 514

= 6

Step3:

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

= 2 / 532

= 2

So, Greatest Common Divisor of 384, 402, 514, 532 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 163, 791, 980
• GCD of 910, 685, 377, 107
• GCD of 335, 612, 112, 142
• GCD of 255, 737, 537, 209
• GCD of 198, 913, 789, 899

Given numbers are 384, 402, 514, 532
The greatest common divisor of numbers 384, 402, 514, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 402, 514, 532 is 2.

1. What is the GCD of 384, 402, 514, 532?

GCD of given numbers 384, 402, 514, 532 is 2

2. How to calculate the greatest common divisor of 384, 402, 514, 532?

We can find the highest common divisor of 384, 402, 514, 532 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, 402, 514, 532 i.e 2.

3. How can I use the GCD of 384, 402, 514, 532Calculator?

Out the numbers 384, 402, 514, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.