GCD of 390, 410, 890, 720 Calculator

Given Input numbers are 390, 410, 890, 720

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 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (390, 410, 890, 720) = 10.

Given numbers are 390, 410, 890, 720

The list of prime factors of all numbers are

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

Prime factors of 410 are 2 x 5 x 41

Prime factors of 890 are 2 x 5 x 89

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 390, 410, 890, 720 is 10.

Given numbers are 390, 410, 890, 720

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

Apply this formula for all numbers.

Step1:

LCM(390, 410) = 15990

GCD(390, 410) = ( 390 x 410 ) / 15990

= 390 / 410

= 390

Step2:

LCM(10, 890) = 890

GCD(10, 890) = ( 10 x 890 ) / 890

= 10 / 890

= 10

Step3:

LCM(10, 720) = 720

GCD(10, 720) = ( 10 x 720 ) / 720

= 10 / 720

= 10

So, Greatest Common Divisor of 390, 410, 890, 720 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 213, 909, 648
• GCD of 235, 426, 604, 587
• GCD of 257, 584, 571, 835
• GCD of 959, 239, 962, 355
• GCD of 809, 325, 717, 629

Given numbers are 390, 410, 890, 720
The greatest common divisor of numbers 390, 410, 890, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 410, 890, 720 is 10.

1. What is the GCD of 390, 410, 890, 720?

GCD of given numbers 390, 410, 890, 720 is 10

2. How to calculate the greatest common divisor of 390, 410, 890, 720?

We can find the highest common divisor of 390, 410, 890, 720 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, 410, 890, 720 i.e 10.

3. How can I use the GCD of 390, 410, 890, 720Calculator?

Out the numbers 390, 410, 890, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.