GCD of 840, 226, 324, 322 Calculator

Given Input numbers are 840, 226, 324, 322

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

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 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

GCD of numbers is the greatest common divisor

So, the GCD (840, 226, 324, 322) = 2.

Given numbers are 840, 226, 324, 322

The list of prime factors of all numbers are

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

Prime factors of 226 are 2 x 113

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 322 are 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 840, 226, 324, 322 is 2.

Given numbers are 840, 226, 324, 322

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

Apply this formula for all numbers.

Step1:

LCM(840, 226) = 94920

GCD(840, 226) = ( 840 x 226 ) / 94920

= 840 / 226

= 840

Step2:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

Step3:

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

= 2 / 322

= 2

So, Greatest Common Divisor of 840, 226, 324, 322 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 207, 106, 197
• GCD of 720, 426, 320, 947
• GCD of 209, 118, 716, 621
• GCD of 377, 805, 905, 510
• GCD of 105, 749, 161, 691

Given numbers are 840, 226, 324, 322
The greatest common divisor of numbers 840, 226, 324, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 226, 324, 322 is 2.

1. What is the GCD of 840, 226, 324, 322?

GCD of given numbers 840, 226, 324, 322 is 2

2. How to calculate the greatest common divisor of 840, 226, 324, 322?

We can find the highest common divisor of 840, 226, 324, 322 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 840, 226, 324, 322 i.e 2.

3. How can I use the GCD of 840, 226, 324, 322Calculator?

Out the numbers 840, 226, 324, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.