GCD of 218, 268, 476, 320 Calculator

Given Input numbers are 218, 268, 476, 320

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

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (218, 268, 476, 320) = 2.

Given numbers are 218, 268, 476, 320

The list of prime factors of all numbers are

Prime factors of 218 are 2 x 109

Prime factors of 268 are 2 x 2 x 67

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 218, 268, 476, 320 is 2.

Given numbers are 218, 268, 476, 320

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

Apply this formula for all numbers.

Step1:

LCM(218, 268) = 29212

GCD(218, 268) = ( 218 x 268 ) / 29212

= 218 / 268

= 218

Step2:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

Step3:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

So, Greatest Common Divisor of 218, 268, 476, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 680, 390, 357
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Given numbers are 218, 268, 476, 320
The greatest common divisor of numbers 218, 268, 476, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 268, 476, 320 is 2.

1. What is the GCD of 218, 268, 476, 320?

GCD of given numbers 218, 268, 476, 320 is 2

2. How to calculate the greatest common divisor of 218, 268, 476, 320?

We can find the highest common divisor of 218, 268, 476, 320 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 218, 268, 476, 320 i.e 2.

3. How can I use the GCD of 218, 268, 476, 320Calculator?

Out the numbers 218, 268, 476, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.