GCD of 462, 310, 848, 342 Calculator

Given Input numbers are 462, 310, 848, 342

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 310 :

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

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

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (462, 310, 848, 342) = 2.

Given numbers are 462, 310, 848, 342

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 310 are 2 x 5 x 31

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

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 462, 310, 848, 342 is 2.

Given numbers are 462, 310, 848, 342

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

Apply this formula for all numbers.

Step1:

LCM(462, 310) = 71610

GCD(462, 310) = ( 462 x 310 ) / 71610

= 462 / 310

= 462

Step2:

LCM(2, 848) = 848

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

= 2 / 848

= 2

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 462, 310, 848, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 102, 545, 611
• GCD of 745, 383, 529, 572
• GCD of 508, 111, 833, 556
• GCD of 605, 195, 968, 761
• GCD of 277, 950, 643, 639

Given numbers are 462, 310, 848, 342
The greatest common divisor of numbers 462, 310, 848, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 310, 848, 342 is 2.

1. What is the GCD of 462, 310, 848, 342?

GCD of given numbers 462, 310, 848, 342 is 2

2. How to calculate the greatest common divisor of 462, 310, 848, 342?

We can find the highest common divisor of 462, 310, 848, 342 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 462, 310, 848, 342 i.e 2.

3. How can I use the GCD of 462, 310, 848, 342Calculator?

Out the numbers 462, 310, 848, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.