GCD of 10, 614, 450, 705 Calculator

Given Input numbers are 10, 614, 450, 705

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

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 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 10, 614, 450, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 614, 450, 705 is 1.

Therefore, GCD of numbers 10, 614, 450, 705 is 1

Given Input Data is 10, 614, 450, 705

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 614 is 2 x 307

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

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(10, 614) = 3070

GCD(10, 614) = ( 10 x 614 ) / 3070

GCD(10, 614) = 6140 / 3070

GCD(10, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 450

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

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

GCD(2, 450) = 900 / 450

GCD(2, 450) = 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 10, 614, 450, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 409, 715, 849
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• GCD of 93, 127, 470, 355

1. What is the GCD of 10, 614, 450, 705?

GCD of 10, 614, 450, 705 is 1

2. Where do I get the detailed procedure to find GCD of 10, 614, 450, 705?

You can find a detailed procedure to find GCD of 10, 614, 450, 705 on our page.

3. How to find GCD of 10, 614, 450, 705 on a calculator?

You can find the GCD of 10, 614, 450, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.