GCD of 384, 708, 358, 270 Calculator

Given Input numbers are 384, 708, 358, 270

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (384, 708, 358, 270) = 2.

Given numbers are 384, 708, 358, 270

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 708 are 2 x 2 x 3 x 59

Prime factors of 358 are 2 x 179

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 384, 708, 358, 270 is 2.

Given numbers are 384, 708, 358, 270

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

Apply this formula for all numbers.

Step1:

LCM(384, 708) = 22656

GCD(384, 708) = ( 384 x 708 ) / 22656

= 384 / 708

= 384

Step2:

LCM(12, 358) = 2148

GCD(12, 358) = ( 12 x 358 ) / 2148

= 12 / 358

= 12

Step3:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

So, Greatest Common Divisor of 384, 708, 358, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 889, 435, 491, 656
• GCD of 490, 361, 763, 404
• GCD of 615, 637, 280, 112
• GCD of 328, 797, 887, 803
• GCD of 250, 544, 913, 464

Given numbers are 384, 708, 358, 270
The greatest common divisor of numbers 384, 708, 358, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 708, 358, 270 is 2.

1. What is the GCD of 384, 708, 358, 270?

GCD of given numbers 384, 708, 358, 270 is 2

2. How to calculate the greatest common divisor of 384, 708, 358, 270?

We can find the highest common divisor of 384, 708, 358, 270 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, 708, 358, 270 i.e 2.

3. How can I use the GCD of 384, 708, 358, 270Calculator?

Out the numbers 384, 708, 358, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.