GCD of 364, 346, 558, 614 Calculator

Given Input numbers are 364, 346, 558, 614

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

GCD of numbers is the greatest common divisor

So, the GCD (364, 346, 558, 614) = 2.

Given numbers are 364, 346, 558, 614

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 346 are 2 x 173

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 614 are 2 x 307

The highest common occurrence is 2¹

Therefore, GCD of 364, 346, 558, 614 is 2.

Given numbers are 364, 346, 558, 614

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

Apply this formula for all numbers.

Step1:

LCM(364, 346) = 62972

GCD(364, 346) = ( 364 x 346 ) / 62972

= 364 / 346

= 364

Step2:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

Step3:

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

= 2 / 614

= 2

So, Greatest Common Divisor of 364, 346, 558, 614 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 426, 833, 515
• GCD of 228, 571, 327, 854
• GCD of 489, 723, 202, 979
• GCD of 128, 937, 975, 606
• GCD of 634, 315, 352, 250

Given numbers are 364, 346, 558, 614
The greatest common divisor of numbers 364, 346, 558, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 346, 558, 614 is 2.

1. What is the GCD of 364, 346, 558, 614?

GCD of given numbers 364, 346, 558, 614 is 2

2. How to calculate the greatest common divisor of 364, 346, 558, 614?

We can find the highest common divisor of 364, 346, 558, 614 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 364, 346, 558, 614 i.e 2.

3. How can I use the GCD of 364, 346, 558, 614Calculator?

Out the numbers 364, 346, 558, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.