GCD of 318, 630, 38, 738 Calculator

Given Input numbers are 318, 630, 38, 738

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

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

GCD of numbers is the greatest common divisor

So, the GCD (318, 630, 38, 738) = 2.

Given numbers are 318, 630, 38, 738

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 38 are 2 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 318, 630, 38, 738 is 2.

Given numbers are 318, 630, 38, 738

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

Apply this formula for all numbers.

Step1:

LCM(318, 630) = 33390

GCD(318, 630) = ( 318 x 630 ) / 33390

= 318 / 630

= 318

Step2:

LCM(6, 38) = 114

GCD(6, 38) = ( 6 x 38 ) / 114

= 6 / 38

= 6

Step3:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

So, Greatest Common Divisor of 318, 630, 38, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 833, 23, 247
• GCD of 245, 671, 21, 650
• GCD of 923, 955, 30, 183
• GCD of 309, 625, 16, 375
• GCD of 150, 611, 52, 992

Given numbers are 318, 630, 38, 738
The greatest common divisor of numbers 318, 630, 38, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 630, 38, 738 is 2.

1. What is the GCD of 318, 630, 38, 738?

GCD of given numbers 318, 630, 38, 738 is 2

2. How to calculate the greatest common divisor of 318, 630, 38, 738?

We can find the highest common divisor of 318, 630, 38, 738 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 318, 630, 38, 738 i.e 2.

3. How can I use the GCD of 318, 630, 38, 738Calculator?

Out the numbers 318, 630, 38, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.