GCD of 694, 600, 63, 218 Calculator

Given Input numbers are 694, 600, 63, 218

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 694, 600, 63, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 600, 63, 218 is 1.

Therefore, GCD of numbers 694, 600, 63, 218 is 1

Given Input Data is 694, 600, 63, 218

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 218 is 2 x 109

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(694, 600) = 208200

GCD(694, 600) = ( 694 x 600 ) / 208200

GCD(694, 600) = 416400 / 208200

GCD(694, 600) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 63

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

LCM(2, 63) = 126

GCD(2, 63) = ( 2 x 63 ) / 126

GCD(2, 63) = 126 / 126

GCD(2, 63) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 694, 600, 63, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 805, 24, 683
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• GCD of 665, 902, 18, 111
• GCD of 834, 439, 17, 805

1. What is the GCD of 694, 600, 63, 218?

GCD of 694, 600, 63, 218 is 1

2. Where do I get the detailed procedure to find GCD of 694, 600, 63, 218?

You can find a detailed procedure to find GCD of 694, 600, 63, 218 on our page.

3. How to find GCD of 694, 600, 63, 218 on a calculator?

You can find the GCD of 694, 600, 63, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.