GCD of 294, 426, 36, 994 Calculator

Given Input numbers are 294, 426, 36, 994

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

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

Divisors of 426 :

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

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

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (294, 426, 36, 994) = 2.

Given numbers are 294, 426, 36, 994

The list of prime factors of all numbers are

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

Prime factors of 426 are 2 x 3 x 71

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 2¹

Therefore, GCD of 294, 426, 36, 994 is 2.

Given numbers are 294, 426, 36, 994

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

Apply this formula for all numbers.

Step1:

LCM(294, 426) = 20874

GCD(294, 426) = ( 294 x 426 ) / 20874

= 294 / 426

= 294

Step2:

LCM(6, 36) = 36

GCD(6, 36) = ( 6 x 36 ) / 36

= 6 / 36

= 6

Step3:

LCM(6, 994) = 2982

GCD(6, 994) = ( 6 x 994 ) / 2982

= 6 / 994

= 6

So, Greatest Common Divisor of 294, 426, 36, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 329, 49, 598
• GCD of 636, 544, 75, 681
• GCD of 203, 444, 18, 762
• GCD of 954, 583, 59, 122
• GCD of 409, 101, 31, 643

Given numbers are 294, 426, 36, 994
The greatest common divisor of numbers 294, 426, 36, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 426, 36, 994 is 2.

1. What is the GCD of 294, 426, 36, 994?

GCD of given numbers 294, 426, 36, 994 is 2

2. How to calculate the greatest common divisor of 294, 426, 36, 994?

We can find the highest common divisor of 294, 426, 36, 994 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 294, 426, 36, 994 i.e 2.

3. How can I use the GCD of 294, 426, 36, 994Calculator?

Out the numbers 294, 426, 36, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.