GCD of 336, 584, 454, 424 Calculator

Given Input numbers are 336, 584, 454, 424

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 454 :

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

1, 2, 227, 454

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (336, 584, 454, 424) = 2.

Given numbers are 336, 584, 454, 424

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 454 are 2 x 227

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 336, 584, 454, 424 is 2.

Given numbers are 336, 584, 454, 424

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

Apply this formula for all numbers.

Step1:

LCM(336, 584) = 24528

GCD(336, 584) = ( 336 x 584 ) / 24528

= 336 / 584

= 336

Step2:

LCM(8, 454) = 1816

GCD(8, 454) = ( 8 x 454 ) / 1816

= 8 / 454

= 8

Step3:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2

So, Greatest Common Divisor of 336, 584, 454, 424 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 865, 539, 133
• GCD of 547, 885, 913, 986
• GCD of 879, 929, 171, 646
• GCD of 760, 355, 923, 585
• GCD of 106, 100, 617, 271

Given numbers are 336, 584, 454, 424
The greatest common divisor of numbers 336, 584, 454, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 584, 454, 424 is 2.

1. What is the GCD of 336, 584, 454, 424?

GCD of given numbers 336, 584, 454, 424 is 2

2. How to calculate the greatest common divisor of 336, 584, 454, 424?

We can find the highest common divisor of 336, 584, 454, 424 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 336, 584, 454, 424 i.e 2.

3. How can I use the GCD of 336, 584, 454, 424Calculator?

Out the numbers 336, 584, 454, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.