GCD of 344, 454, 684, 355 Calculator

Given Input numbers are 344, 454, 684, 355

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 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 355 :

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

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (344, 454, 684, 355) = 1.

Given numbers are 344, 454, 684, 355

The list of prime factors of all numbers are

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

Prime factors of 454 are 2 x 227

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 355 are 5 x 71

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

Given numbers are 344, 454, 684, 355

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

Apply this formula for all numbers.

Step1:

LCM(344, 454) = 78088

GCD(344, 454) = ( 344 x 454 ) / 78088

= 344 / 454

= 344

Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

Step3:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2

So, Greatest Common Divisor of 344, 454, 684, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 896, 533, 855
• GCD of 606, 658, 765, 592
• GCD of 871, 738, 436, 497
• GCD of 830, 145, 792, 984
• GCD of 947, 650, 817, 328

Given numbers are 344, 454, 684, 355
The greatest common divisor of numbers 344, 454, 684, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 454, 684, 355 is 1.

1. What is the GCD of 344, 454, 684, 355?

GCD of given numbers 344, 454, 684, 355 is 1

2. How to calculate the greatest common divisor of 344, 454, 684, 355?

We can find the highest common divisor of 344, 454, 684, 355 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, 454, 684, 355 i.e 1.

3. How can I use the GCD of 344, 454, 684, 355Calculator?

Out the numbers 344, 454, 684, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.