GCD of 552, 138, 318 Calculator

Given Input numbers are 552, 138, 318

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

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 318 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (552, 138, 318) = 6.

Given numbers are 552, 138, 318

The list of prime factors of all numbers are

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

Prime factors of 138 are 2 x 3 x 23

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 552, 138, 318 is 6.

Given numbers are 552, 138, 318

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

Apply this formula for all numbers.

Step1:

LCM(552, 138) = 552

GCD(552, 138) = ( 552 x 138 ) / 552

= 552 / 138

= 552

Step2:

LCM(138, 318) = 7314

GCD(138, 318) = ( 138 x 318 ) / 7314

= 138 / 318

= 138

So, Greatest Common Divisor of 552, 138, 318 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 287, 219
• GCD of 613, 408, 706
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• GCD of 211, 976, 127
• GCD of 414, 289, 275

Given numbers are 552, 138, 318
The greatest common divisor of numbers 552, 138, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 138, 318 is 6.

1. What is the GCD of 552, 138, 318?

GCD of given numbers 552, 138, 318 is 6

2. How to calculate the greatest common divisor of 552, 138, 318?

We can find the highest common divisor of 552, 138, 318 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 552, 138, 318 i.e 6.

3. How can I use the GCD of 552, 138, 318Calculator?

Out the numbers 552, 138, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.