GCD of 504, 426, 996, 294 Calculator

Given Input numbers are 504, 426, 996, 294

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

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

Divisors of 426 :

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

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

GCD of numbers is the greatest common divisor

So, the GCD (504, 426, 996, 294) = 6.

Given numbers are 504, 426, 996, 294

The list of prime factors of all numbers are

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

Prime factors of 426 are 2 x 3 x 71

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 294 are 2 x 3 x 7 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 504, 426, 996, 294 is 6.

Given numbers are 504, 426, 996, 294

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

Apply this formula for all numbers.

Step1:

LCM(504, 426) = 35784

GCD(504, 426) = ( 504 x 426 ) / 35784

= 504 / 426

= 504

Step2:

LCM(6, 996) = 996

GCD(6, 996) = ( 6 x 996 ) / 996

= 6 / 996

= 6

Step3:

LCM(6, 294) = 294

GCD(6, 294) = ( 6 x 294 ) / 294

= 6 / 294

= 6

So, Greatest Common Divisor of 504, 426, 996, 294 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 288, 637, 106
• GCD of 100, 365, 536, 383
• GCD of 808, 165, 276, 147
• GCD of 437, 648, 565, 508
• GCD of 807, 636, 904, 493

Given numbers are 504, 426, 996, 294
The greatest common divisor of numbers 504, 426, 996, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 426, 996, 294 is 6.

1. What is the GCD of 504, 426, 996, 294?

GCD of given numbers 504, 426, 996, 294 is 6

2. How to calculate the greatest common divisor of 504, 426, 996, 294?

We can find the highest common divisor of 504, 426, 996, 294 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 504, 426, 996, 294 i.e 6.

3. How can I use the GCD of 504, 426, 996, 294Calculator?

Out the numbers 504, 426, 996, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.