GCD of 288, 600, 316, 125 Calculator

Given Input numbers are 288, 600, 316, 125

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

GCD of numbers is the greatest common divisor

So, the GCD (288, 600, 316, 125) = 1.

Given numbers are 288, 600, 316, 125

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 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 316 are 2 x 2 x 79

Prime factors of 125 are 5 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 288, 600, 316, 125

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

Apply this formula for all numbers.

Step1:

LCM(288, 600) = 7200

GCD(288, 600) = ( 288 x 600 ) / 7200

= 288 / 600

= 288

Step2:

LCM(24, 316) = 1896

GCD(24, 316) = ( 24 x 316 ) / 1896

= 24 / 316

= 24

Step3:

LCM(4, 125) = 500

GCD(4, 125) = ( 4 x 125 ) / 500

= 4 / 125

= 4

So, Greatest Common Divisor of 288, 600, 316, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 506, 977, 857
• GCD of 243, 926, 430, 951
• GCD of 562, 271, 531, 434
• GCD of 332, 717, 249, 708
• GCD of 562, 120, 548, 456

Given numbers are 288, 600, 316, 125
The greatest common divisor of numbers 288, 600, 316, 125 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 600, 316, 125 is 1.

1. What is the GCD of 288, 600, 316, 125?

GCD of given numbers 288, 600, 316, 125 is 1

2. How to calculate the greatest common divisor of 288, 600, 316, 125?

We can find the highest common divisor of 288, 600, 316, 125 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, 600, 316, 125 i.e 1.

3. How can I use the GCD of 288, 600, 316, 125Calculator?

Out the numbers 288, 600, 316, 125 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.