GCD of 318, 552, 22, 398 Calculator

Given Input numbers are 318, 552, 22, 398

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 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (318, 552, 22, 398) = 2.

Given numbers are 318, 552, 22, 398

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 22 are 2 x 11

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 318, 552, 22, 398 is 2.

Given numbers are 318, 552, 22, 398

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

Apply this formula for all numbers.

Step1:

LCM(318, 552) = 29256

GCD(318, 552) = ( 318 x 552 ) / 29256

= 318 / 552

= 318

Step2:

LCM(6, 22) = 66

GCD(6, 22) = ( 6 x 22 ) / 66

= 6 / 22

= 6

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 318, 552, 22, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 341, 71, 900
• GCD of 461, 871, 16, 659
• GCD of 357, 290, 45, 856
• GCD of 660, 838, 94, 795
• GCD of 873, 907, 18, 783

Given numbers are 318, 552, 22, 398
The greatest common divisor of numbers 318, 552, 22, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 552, 22, 398 is 2.

1. What is the GCD of 318, 552, 22, 398?

GCD of given numbers 318, 552, 22, 398 is 2

2. How to calculate the greatest common divisor of 318, 552, 22, 398?

We can find the highest common divisor of 318, 552, 22, 398 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, 552, 22, 398 i.e 2.

3. How can I use the GCD of 318, 552, 22, 398Calculator?

Out the numbers 318, 552, 22, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.