GCD of 675, 662, 45, 214 Calculator

Given Input numbers are 675, 662, 45, 214

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 675, 662, 45, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 662, 45, 214 is 1.

Therefore, GCD of numbers 675, 662, 45, 214 is 1

Given Input Data is 675, 662, 45, 214

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 662 is 2 x 331

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 214 is 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(675, 662) = 446850

GCD(675, 662) = ( 675 x 662 ) / 446850

GCD(675, 662) = 446850 / 446850

GCD(675, 662) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 675, 662, 45, 214 is 1

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1. What is the GCD of 675, 662, 45, 214?

GCD of 675, 662, 45, 214 is 1

2. Where do I get the detailed procedure to find GCD of 675, 662, 45, 214?

You can find a detailed procedure to find GCD of 675, 662, 45, 214 on our page.

3. How to find GCD of 675, 662, 45, 214 on a calculator?

You can find the GCD of 675, 662, 45, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.