GCD of 344, 355, 861, 214 Calculator

Given Input numbers are 344, 355, 861, 214

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 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (344, 355, 861, 214) = 1.

Given numbers are 344, 355, 861, 214

The list of prime factors of all numbers are

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

Prime factors of 355 are 5 x 71

Prime factors of 861 are 3 x 7 x 41

Prime factors of 214 are 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 344, 355, 861, 214

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

Apply this formula for all numbers.

Step1:

LCM(344, 355) = 122120

GCD(344, 355) = ( 344 x 355 ) / 122120

= 344 / 355

= 344

Step2:

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

= 1 / 861

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 344, 355, 861, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 534, 557, 187
• GCD of 544, 468, 393, 109
• GCD of 915, 612, 634, 589
• GCD of 514, 162, 741, 916
• GCD of 716, 974, 298, 477

Given numbers are 344, 355, 861, 214
The greatest common divisor of numbers 344, 355, 861, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 355, 861, 214 is 1.

1. What is the GCD of 344, 355, 861, 214?

GCD of given numbers 344, 355, 861, 214 is 1

2. How to calculate the greatest common divisor of 344, 355, 861, 214?

We can find the highest common divisor of 344, 355, 861, 214 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, 355, 861, 214 i.e 1.

3. How can I use the GCD of 344, 355, 861, 214Calculator?

Out the numbers 344, 355, 861, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.