GCD of 344, 822, 210, 400 Calculator

Given Input numbers are 344, 822, 210, 400

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

Divisors of 344 :

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

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (344, 822, 210, 400) = 2.

Given numbers are 344, 822, 210, 400

The list of prime factors of all numbers are

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

Prime factors of 822 are 2 x 3 x 137

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 344, 822, 210, 400 is 2.

Given numbers are 344, 822, 210, 400

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

Apply this formula for all numbers.

Step1:

LCM(344, 822) = 141384

GCD(344, 822) = ( 344 x 822 ) / 141384

= 344 / 822

= 344

Step2:

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

= 2 / 210

= 2

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 344, 822, 210, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 205, 775, 179
• GCD of 902, 831, 574, 141
• GCD of 992, 952, 162, 387
• GCD of 881, 858, 451, 888
• GCD of 341, 468, 374, 602

Given numbers are 344, 822, 210, 400
The greatest common divisor of numbers 344, 822, 210, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 822, 210, 400 is 2.

1. What is the GCD of 344, 822, 210, 400?

GCD of given numbers 344, 822, 210, 400 is 2

2. How to calculate the greatest common divisor of 344, 822, 210, 400?

We can find the highest common divisor of 344, 822, 210, 400 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 344, 822, 210, 400 i.e 2.

3. How can I use the GCD of 344, 822, 210, 400Calculator?

Out the numbers 344, 822, 210, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.