GCD of 390, 705, 579, 402 Calculator

Given Input numbers are 390, 705, 579, 402

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

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579

Divisors of 402 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (390, 705, 579, 402) = 3.

Given numbers are 390, 705, 579, 402

The list of prime factors of all numbers are

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

Prime factors of 705 are 3 x 5 x 47

Prime factors of 579 are 3 x 193

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 390, 705, 579, 402 is 3.

Given numbers are 390, 705, 579, 402

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

Apply this formula for all numbers.

Step1:

LCM(390, 705) = 18330

GCD(390, 705) = ( 390 x 705 ) / 18330

= 390 / 705

= 390

Step2:

LCM(15, 579) = 2895

GCD(15, 579) = ( 15 x 579 ) / 2895

= 15 / 579

= 15

Step3:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3

So, Greatest Common Divisor of 390, 705, 579, 402 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 892, 431, 232
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• GCD of 118, 469, 673, 214
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• GCD of 875, 358, 285, 842

Given numbers are 390, 705, 579, 402
The greatest common divisor of numbers 390, 705, 579, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 705, 579, 402 is 3.

1. What is the GCD of 390, 705, 579, 402?

GCD of given numbers 390, 705, 579, 402 is 3

2. How to calculate the greatest common divisor of 390, 705, 579, 402?

We can find the highest common divisor of 390, 705, 579, 402 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 390, 705, 579, 402 i.e 3.

3. How can I use the GCD of 390, 705, 579, 402Calculator?

Out the numbers 390, 705, 579, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.