GCD of 387, 510, 505, 378 Calculator

Given Input numbers are 387, 510, 505, 378

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 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (387, 510, 505, 378) = 1.

Given numbers are 387, 510, 505, 378

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 505 are 5 x 101

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Given numbers are 387, 510, 505, 378

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

Apply this formula for all numbers.

Step1:

LCM(387, 510) = 65790

GCD(387, 510) = ( 387 x 510 ) / 65790

= 387 / 510

= 387

Step2:

LCM(3, 505) = 1515

GCD(3, 505) = ( 3 x 505 ) / 1515

= 3 / 505

= 3

Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

So, Greatest Common Divisor of 387, 510, 505, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 661, 866, 548
• GCD of 322, 404, 158, 113
• GCD of 570, 472, 646, 682
• GCD of 477, 955, 273, 491
• GCD of 373, 217, 526, 844

Given numbers are 387, 510, 505, 378
The greatest common divisor of numbers 387, 510, 505, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 510, 505, 378 is 1.

1. What is the GCD of 387, 510, 505, 378?

GCD of given numbers 387, 510, 505, 378 is 1

2. How to calculate the greatest common divisor of 387, 510, 505, 378?

We can find the highest common divisor of 387, 510, 505, 378 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, 510, 505, 378 i.e 1.

3. How can I use the GCD of 387, 510, 505, 378Calculator?

Out the numbers 387, 510, 505, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.