GCD of 834, 470, 314, 472 Calculator

Given Input numbers are 834, 470, 314, 472

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

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

GCD of numbers is the greatest common divisor

So, the GCD (834, 470, 314, 472) = 2.

Given numbers are 834, 470, 314, 472

The list of prime factors of all numbers are

Prime factors of 834 are 2 x 3 x 139

Prime factors of 470 are 2 x 5 x 47

Prime factors of 314 are 2 x 157

Prime factors of 472 are 2 x 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 834, 470, 314, 472 is 2.

Given numbers are 834, 470, 314, 472

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

Apply this formula for all numbers.

Step1:

LCM(834, 470) = 195990

GCD(834, 470) = ( 834 x 470 ) / 195990

= 834 / 470

= 834

Step2:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

Step3:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

So, Greatest Common Divisor of 834, 470, 314, 472 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 667, 698, 697
• GCD of 340, 694, 247, 627
• GCD of 556, 906, 181, 717
• GCD of 645, 683, 894, 629
• GCD of 244, 189, 948, 340

Given numbers are 834, 470, 314, 472
The greatest common divisor of numbers 834, 470, 314, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 470, 314, 472 is 2.

1. What is the GCD of 834, 470, 314, 472?

GCD of given numbers 834, 470, 314, 472 is 2

2. How to calculate the greatest common divisor of 834, 470, 314, 472?

We can find the highest common divisor of 834, 470, 314, 472 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 834, 470, 314, 472 i.e 2.

3. How can I use the GCD of 834, 470, 314, 472Calculator?

Out the numbers 834, 470, 314, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.