GCD of 214, 450, 992, 705 Calculator

Given Input numbers are 214, 450, 992, 705

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

Divisors of 214

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

1, 2, 107, 214

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 214, 450, 992, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 450, 992, 705 is 1.

Therefore, GCD of numbers 214, 450, 992, 705 is 1

Given Input Data is 214, 450, 992, 705

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 705 is 3 x 5 x 47

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(214, 450) = 48150

GCD(214, 450) = ( 214 x 450 ) / 48150

GCD(214, 450) = 96300 / 48150

GCD(214, 450) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 992

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

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

GCD(2, 992) = 1984 / 992

GCD(2, 992) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 705

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

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

GCD(2, 705) = 1410 / 1410

GCD(2, 705) = 1

GCD of 214, 450, 992, 705 is 1

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1. What is the GCD of 214, 450, 992, 705?

GCD of 214, 450, 992, 705 is 1

2. Where do I get the detailed procedure to find GCD of 214, 450, 992, 705?

You can find a detailed procedure to find GCD of 214, 450, 992, 705 on our page.

3. How to find GCD of 214, 450, 992, 705 on a calculator?

You can find the GCD of 214, 450, 992, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.