GCD of 312, 714, 478, 288 Calculator

Given Input numbers are 312, 714, 478, 288

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (312, 714, 478, 288) = 2.

Given numbers are 312, 714, 478, 288

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 478 are 2 x 239

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 312, 714, 478, 288 is 2.

Given numbers are 312, 714, 478, 288

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

Apply this formula for all numbers.

Step1:

LCM(312, 714) = 37128

GCD(312, 714) = ( 312 x 714 ) / 37128

= 312 / 714

= 312

Step2:

LCM(6, 478) = 1434

GCD(6, 478) = ( 6 x 478 ) / 1434

= 6 / 478

= 6

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 312, 714, 478, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 688, 157, 511
• GCD of 751, 714, 840, 559
• GCD of 300, 381, 523, 947
• GCD of 263, 432, 931, 235
• GCD of 244, 761, 972, 474

Given numbers are 312, 714, 478, 288
The greatest common divisor of numbers 312, 714, 478, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 714, 478, 288 is 2.

1. What is the GCD of 312, 714, 478, 288?

GCD of given numbers 312, 714, 478, 288 is 2

2. How to calculate the greatest common divisor of 312, 714, 478, 288?

We can find the highest common divisor of 312, 714, 478, 288 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 312, 714, 478, 288 i.e 2.

3. How can I use the GCD of 312, 714, 478, 288Calculator?

Out the numbers 312, 714, 478, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.