GCD of 644, 840, 462, 344 Calculator

Given Input numbers are 644, 840, 462, 344

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

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (644, 840, 462, 344) = 2.

Given numbers are 644, 840, 462, 344

The list of prime factors of all numbers are

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 644, 840, 462, 344 is 2.

Given numbers are 644, 840, 462, 344

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

Apply this formula for all numbers.

Step1:

LCM(644, 840) = 19320

GCD(644, 840) = ( 644 x 840 ) / 19320

= 644 / 840

= 644

Step2:

LCM(28, 462) = 924

GCD(28, 462) = ( 28 x 462 ) / 924

= 28 / 462

= 28

Step3:

LCM(14, 344) = 2408

GCD(14, 344) = ( 14 x 344 ) / 2408

= 14 / 344

= 14

So, Greatest Common Divisor of 644, 840, 462, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 693, 905, 648
• GCD of 419, 720, 727, 440
• GCD of 234, 990, 781, 907
• GCD of 482, 815, 473, 545
• GCD of 622, 330, 775, 225

Given numbers are 644, 840, 462, 344
The greatest common divisor of numbers 644, 840, 462, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 840, 462, 344 is 2.

1. What is the GCD of 644, 840, 462, 344?

GCD of given numbers 644, 840, 462, 344 is 2

2. How to calculate the greatest common divisor of 644, 840, 462, 344?

We can find the highest common divisor of 644, 840, 462, 344 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 644, 840, 462, 344 i.e 2.

3. How can I use the GCD of 644, 840, 462, 344Calculator?

Out the numbers 644, 840, 462, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.