GCD of 738, 214, 104, 284 Calculator

Given Input numbers are 738, 214, 104, 284

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (738, 214, 104, 284) = 2.

Given numbers are 738, 214, 104, 284

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 214 are 2 x 107

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 284 are 2 x 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 738, 214, 104, 284 is 2.

Given numbers are 738, 214, 104, 284

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

Apply this formula for all numbers.

Step1:

LCM(738, 214) = 78966

GCD(738, 214) = ( 738 x 214 ) / 78966

= 738 / 214

= 738

Step2:

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

= 2 / 104

= 2

Step3:

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

= 2 / 284

= 2

So, Greatest Common Divisor of 738, 214, 104, 284 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 990, 829, 292
• GCD of 633, 994, 276, 371
• GCD of 260, 795, 436, 766
• GCD of 747, 365, 248, 513
• GCD of 391, 928, 738, 598

Given numbers are 738, 214, 104, 284
The greatest common divisor of numbers 738, 214, 104, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 214, 104, 284 is 2.

1. What is the GCD of 738, 214, 104, 284?

GCD of given numbers 738, 214, 104, 284 is 2

2. How to calculate the greatest common divisor of 738, 214, 104, 284?

We can find the highest common divisor of 738, 214, 104, 284 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 738, 214, 104, 284 i.e 2.

3. How can I use the GCD of 738, 214, 104, 284Calculator?

Out the numbers 738, 214, 104, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.