GCD of 288, 342, 915, 624 Calculator

Given Input numbers are 288, 342, 915, 624

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

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (288, 342, 915, 624) = 3.

Given numbers are 288, 342, 915, 624

The list of prime factors of all numbers are

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 915 are 3 x 5 x 61

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 288, 342, 915, 624 is 3.

Given numbers are 288, 342, 915, 624

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

Apply this formula for all numbers.

Step1:

LCM(288, 342) = 5472

GCD(288, 342) = ( 288 x 342 ) / 5472

= 288 / 342

= 288

Step2:

LCM(18, 915) = 5490

GCD(18, 915) = ( 18 x 915 ) / 5490

= 18 / 915

= 18

Step3:

LCM(3, 624) = 624

GCD(3, 624) = ( 3 x 624 ) / 624

= 3 / 624

= 3

So, Greatest Common Divisor of 288, 342, 915, 624 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 876, 962, 344
• GCD of 930, 924, 366, 599
• GCD of 161, 659, 532, 370
• GCD of 525, 918, 111, 226
• GCD of 237, 471, 910, 295

Given numbers are 288, 342, 915, 624
The greatest common divisor of numbers 288, 342, 915, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 342, 915, 624 is 3.

1. What is the GCD of 288, 342, 915, 624?

GCD of given numbers 288, 342, 915, 624 is 3

2. How to calculate the greatest common divisor of 288, 342, 915, 624?

We can find the highest common divisor of 288, 342, 915, 624 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 288, 342, 915, 624 i.e 3.

3. How can I use the GCD of 288, 342, 915, 624Calculator?

Out the numbers 288, 342, 915, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.