GCD of 390, 906, 343, 300 Calculator

Given Input numbers are 390, 906, 343, 300

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 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (390, 906, 343, 300) = 1.

Given numbers are 390, 906, 343, 300

The list of prime factors of all numbers are

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

Prime factors of 906 are 2 x 3 x 151

Prime factors of 343 are 7 x 7 x 7

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Given numbers are 390, 906, 343, 300

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

Apply this formula for all numbers.

Step1:

LCM(390, 906) = 58890

GCD(390, 906) = ( 390 x 906 ) / 58890

= 390 / 906

= 390

Step2:

LCM(6, 343) = 2058

GCD(6, 343) = ( 6 x 343 ) / 2058

= 6 / 343

= 6

Step3:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

So, Greatest Common Divisor of 390, 906, 343, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 617, 774, 439
• GCD of 716, 839, 478, 466
• GCD of 535, 313, 598, 769
• GCD of 535, 358, 135, 726
• GCD of 261, 448, 498, 289

Given numbers are 390, 906, 343, 300
The greatest common divisor of numbers 390, 906, 343, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 906, 343, 300 is 1.

1. What is the GCD of 390, 906, 343, 300?

GCD of given numbers 390, 906, 343, 300 is 1

2. How to calculate the greatest common divisor of 390, 906, 343, 300?

We can find the highest common divisor of 390, 906, 343, 300 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, 906, 343, 300 i.e 1.

3. How can I use the GCD of 390, 906, 343, 300Calculator?

Out the numbers 390, 906, 343, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.