GCD of 336, 274, 76, 504 Calculator

Given Input numbers are 336, 274, 76, 504

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 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (336, 274, 76, 504) = 2.

Given numbers are 336, 274, 76, 504

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 274 are 2 x 137

Prime factors of 76 are 2 x 2 x 19

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 336, 274, 76, 504 is 2.

Given numbers are 336, 274, 76, 504

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

Apply this formula for all numbers.

Step1:

LCM(336, 274) = 46032

GCD(336, 274) = ( 336 x 274 ) / 46032

= 336 / 274

= 336

Step2:

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

= 2 / 76

= 2

Step3:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

So, Greatest Common Divisor of 336, 274, 76, 504 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 844, 85, 667
• GCD of 588, 413, 47, 150
• GCD of 812, 836, 97, 395
• GCD of 474, 369, 13, 421
• GCD of 740, 873, 52, 334

Given numbers are 336, 274, 76, 504
The greatest common divisor of numbers 336, 274, 76, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 274, 76, 504 is 2.

1. What is the GCD of 336, 274, 76, 504?

GCD of given numbers 336, 274, 76, 504 is 2

2. How to calculate the greatest common divisor of 336, 274, 76, 504?

We can find the highest common divisor of 336, 274, 76, 504 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, 274, 76, 504 i.e 2.

3. How can I use the GCD of 336, 274, 76, 504Calculator?

Out the numbers 336, 274, 76, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.