GCD of 224, 132, 668, 318 Calculator

Given Input numbers are 224, 132, 668, 318

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

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 (224, 132, 668, 318) = 2.

Given numbers are 224, 132, 668, 318

The list of prime factors of all numbers are

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 668 are 2 x 2 x 167

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 224, 132, 668, 318 is 2.

Given numbers are 224, 132, 668, 318

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

Apply this formula for all numbers.

Step1:

LCM(224, 132) = 7392

GCD(224, 132) = ( 224 x 132 ) / 7392

= 224 / 132

= 224

Step2:

LCM(4, 668) = 668

GCD(4, 668) = ( 4 x 668 ) / 668

= 4 / 668

= 4

Step3:

LCM(4, 318) = 636

GCD(4, 318) = ( 4 x 318 ) / 636

= 4 / 318

= 4

So, Greatest Common Divisor of 224, 132, 668, 318 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 107, 321, 661
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• GCD of 620, 750, 971, 660
• GCD of 803, 136, 737, 485
• GCD of 433, 414, 778, 997

Given numbers are 224, 132, 668, 318
The greatest common divisor of numbers 224, 132, 668, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 132, 668, 318 is 2.

1. What is the GCD of 224, 132, 668, 318?

GCD of given numbers 224, 132, 668, 318 is 2

2. How to calculate the greatest common divisor of 224, 132, 668, 318?

We can find the highest common divisor of 224, 132, 668, 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 224, 132, 668, 318 i.e 2.

3. How can I use the GCD of 224, 132, 668, 318Calculator?

Out the numbers 224, 132, 668, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.