GCD of 384, 132, 700, 486 Calculator

Given Input numbers are 384, 132, 700, 486

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

GCD of numbers is the greatest common divisor

So, the GCD (384, 132, 700, 486) = 2.

Given numbers are 384, 132, 700, 486

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 132 are 2 x 2 x 3 x 11

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 384, 132, 700, 486 is 2.

Given numbers are 384, 132, 700, 486

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

Apply this formula for all numbers.

Step1:

LCM(384, 132) = 4224

GCD(384, 132) = ( 384 x 132 ) / 4224

= 384 / 132

= 384

Step2:

LCM(12, 700) = 2100

GCD(12, 700) = ( 12 x 700 ) / 2100

= 12 / 700

= 12

Step3:

LCM(4, 486) = 972

GCD(4, 486) = ( 4 x 486 ) / 972

= 4 / 486

= 4

So, Greatest Common Divisor of 384, 132, 700, 486 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 786, 629, 577
• GCD of 394, 824, 819, 215
• GCD of 869, 248, 725, 915
• GCD of 796, 181, 776, 687
• GCD of 536, 323, 787, 114

Given numbers are 384, 132, 700, 486
The greatest common divisor of numbers 384, 132, 700, 486 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 132, 700, 486 is 2.

1. What is the GCD of 384, 132, 700, 486?

GCD of given numbers 384, 132, 700, 486 is 2

2. How to calculate the greatest common divisor of 384, 132, 700, 486?

We can find the highest common divisor of 384, 132, 700, 486 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, 132, 700, 486 i.e 2.

3. How can I use the GCD of 384, 132, 700, 486Calculator?

Out the numbers 384, 132, 700, 486 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.