GCD of 402, 387, 717, 390 Calculator

Given Input numbers are 402, 387, 717, 390

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 387 :

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

1, 3, 9, 43, 129, 387

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (402, 387, 717, 390) = 3.

Given numbers are 402, 387, 717, 390

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 387 are 3 x 3 x 43

Prime factors of 717 are 3 x 239

Prime factors of 390 are 2 x 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 402, 387, 717, 390 is 3.

Given numbers are 402, 387, 717, 390

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

Apply this formula for all numbers.

Step1:

LCM(402, 387) = 51858

GCD(402, 387) = ( 402 x 387 ) / 51858

= 402 / 387

= 402

Step2:

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

= 3 / 717

= 3

Step3:

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

= 3 / 390

= 3

So, Greatest Common Divisor of 402, 387, 717, 390 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 735, 973, 196
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• GCD of 853, 611, 670, 769

Given numbers are 402, 387, 717, 390
The greatest common divisor of numbers 402, 387, 717, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 387, 717, 390 is 3.

1. What is the GCD of 402, 387, 717, 390?

GCD of given numbers 402, 387, 717, 390 is 3

2. How to calculate the greatest common divisor of 402, 387, 717, 390?

We can find the highest common divisor of 402, 387, 717, 390 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 402, 387, 717, 390 i.e 3.

3. How can I use the GCD of 402, 387, 717, 390Calculator?

Out the numbers 402, 387, 717, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.