GCD of 387, 138, 507, 960 Calculator

Given Input numbers are 387, 138, 507, 960

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (387, 138, 507, 960) = 3.

Given numbers are 387, 138, 507, 960

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 138 are 2 x 3 x 23

Prime factors of 507 are 3 x 13 x 13

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 387, 138, 507, 960 is 3.

Given numbers are 387, 138, 507, 960

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

Apply this formula for all numbers.

Step1:

LCM(387, 138) = 17802

GCD(387, 138) = ( 387 x 138 ) / 17802

= 387 / 138

= 387

Step2:

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

= 3 / 507

= 3

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 387, 138, 507, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 637, 970, 243
• GCD of 433, 721, 472, 355
• GCD of 169, 162, 780, 132
• GCD of 308, 621, 925, 852
• GCD of 215, 105, 591, 910

Given numbers are 387, 138, 507, 960
The greatest common divisor of numbers 387, 138, 507, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 138, 507, 960 is 3.

1. What is the GCD of 387, 138, 507, 960?

GCD of given numbers 387, 138, 507, 960 is 3

2. How to calculate the greatest common divisor of 387, 138, 507, 960?

We can find the highest common divisor of 387, 138, 507, 960 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, 138, 507, 960 i.e 3.

3. How can I use the GCD of 387, 138, 507, 960Calculator?

Out the numbers 387, 138, 507, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.