GCD of 390, 564, 690, 344 Calculator

Given Input numbers are 390, 564, 690, 344

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (390, 564, 690, 344) = 2.

Given numbers are 390, 564, 690, 344

The list of prime factors of all numbers are

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

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 390, 564, 690, 344 is 2.

Given numbers are 390, 564, 690, 344

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

Apply this formula for all numbers.

Step1:

LCM(390, 564) = 36660

GCD(390, 564) = ( 390 x 564 ) / 36660

= 390 / 564

= 390

Step2:

LCM(6, 690) = 690

GCD(6, 690) = ( 6 x 690 ) / 690

= 6 / 690

= 6

Step3:

LCM(6, 344) = 1032

GCD(6, 344) = ( 6 x 344 ) / 1032

= 6 / 344

= 6

So, Greatest Common Divisor of 390, 564, 690, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 727, 370, 703
• GCD of 212, 627, 616, 387
• GCD of 557, 727, 261, 473
• GCD of 552, 681, 283, 128
• GCD of 342, 568, 793, 503

Given numbers are 390, 564, 690, 344
The greatest common divisor of numbers 390, 564, 690, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 564, 690, 344 is 2.

1. What is the GCD of 390, 564, 690, 344?

GCD of given numbers 390, 564, 690, 344 is 2

2. How to calculate the greatest common divisor of 390, 564, 690, 344?

We can find the highest common divisor of 390, 564, 690, 344 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, 564, 690, 344 i.e 2.

3. How can I use the GCD of 390, 564, 690, 344Calculator?

Out the numbers 390, 564, 690, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.