GCD of 390, 724, 848, 310 Calculator

Given Input numbers are 390, 724, 848, 310

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (390, 724, 848, 310) = 2.

Given numbers are 390, 724, 848, 310

The list of prime factors of all numbers are

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

Prime factors of 724 are 2 x 2 x 181

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 390, 724, 848, 310 is 2.

Given numbers are 390, 724, 848, 310

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

Apply this formula for all numbers.

Step1:

LCM(390, 724) = 141180

GCD(390, 724) = ( 390 x 724 ) / 141180

= 390 / 724

= 390

Step2:

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

= 2 / 848

= 2

Step3:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

So, Greatest Common Divisor of 390, 724, 848, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 251, 733, 411
• GCD of 666, 376, 486, 843
• GCD of 574, 547, 749, 728
• GCD of 371, 899, 540, 562
• GCD of 812, 689, 101, 937

Given numbers are 390, 724, 848, 310
The greatest common divisor of numbers 390, 724, 848, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 724, 848, 310 is 2.

1. What is the GCD of 390, 724, 848, 310?

GCD of given numbers 390, 724, 848, 310 is 2

2. How to calculate the greatest common divisor of 390, 724, 848, 310?

We can find the highest common divisor of 390, 724, 848, 310 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, 724, 848, 310 i.e 2.

3. How can I use the GCD of 390, 724, 848, 310Calculator?

Out the numbers 390, 724, 848, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.