GCD of 387, 600, 15, 135 Calculator

Given Input numbers are 387, 600, 15, 135

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

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 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (387, 600, 15, 135) = 3.

Given numbers are 387, 600, 15, 135

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 15 are 3 x 5

Prime factors of 135 are 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 387, 600, 15, 135 is 3.

Given numbers are 387, 600, 15, 135

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

Apply this formula for all numbers.

Step1:

LCM(387, 600) = 77400

GCD(387, 600) = ( 387 x 600 ) / 77400

= 387 / 600

= 387

Step2:

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

= 3 / 15

= 3

Step3:

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

= 3 / 135

= 3

So, Greatest Common Divisor of 387, 600, 15, 135 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 357, 69, 542
• GCD of 150, 881, 58, 178
• GCD of 791, 125, 34, 781
• GCD of 971, 600, 31, 634
• GCD of 908, 110, 17, 312

Given numbers are 387, 600, 15, 135
The greatest common divisor of numbers 387, 600, 15, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 600, 15, 135 is 3.

1. What is the GCD of 387, 600, 15, 135?

GCD of given numbers 387, 600, 15, 135 is 3

2. How to calculate the greatest common divisor of 387, 600, 15, 135?

We can find the highest common divisor of 387, 600, 15, 135 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 387, 600, 15, 135 i.e 3.

3. How can I use the GCD of 387, 600, 15, 135Calculator?

Out the numbers 387, 600, 15, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.