GCD of 356, 384, 426, 614 Calculator

Given Input numbers are 356, 384, 426, 614

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

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 (356, 384, 426, 614) = 2.

Given numbers are 356, 384, 426, 614

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 426 are 2 x 3 x 71

Prime factors of 614 are 2 x 307

The highest common occurrence is 2¹

Therefore, GCD of 356, 384, 426, 614 is 2.

Given numbers are 356, 384, 426, 614

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

Apply this formula for all numbers.

Step1:

LCM(356, 384) = 34176

GCD(356, 384) = ( 356 x 384 ) / 34176

= 356 / 384

= 356

Step2:

LCM(4, 426) = 852

GCD(4, 426) = ( 4 x 426 ) / 852

= 4 / 426

= 4

Step3:

LCM(2, 614) = 614

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

= 2 / 614

= 2

So, Greatest Common Divisor of 356, 384, 426, 614 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 724, 142, 495
• GCD of 115, 939, 225, 729
• GCD of 927, 622, 921, 230
• GCD of 761, 419, 622, 913
• GCD of 477, 216, 180, 671

Given numbers are 356, 384, 426, 614
The greatest common divisor of numbers 356, 384, 426, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 384, 426, 614 is 2.

1. What is the GCD of 356, 384, 426, 614?

GCD of given numbers 356, 384, 426, 614 is 2

2. How to calculate the greatest common divisor of 356, 384, 426, 614?

We can find the highest common divisor of 356, 384, 426, 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 356, 384, 426, 614 i.e 2.

3. How can I use the GCD of 356, 384, 426, 614Calculator?

Out the numbers 356, 384, 426, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.