GCD of 209, 674, 10, 994 Calculator

Given Input numbers are 209, 674, 10, 994

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 10

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

1, 2, 5, 10

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 209, 674, 10, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 674, 10, 994 is 1.

Therefore, GCD of numbers 209, 674, 10, 994 is 1

Given Input Data is 209, 674, 10, 994

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 674 is 2 x 337

Prime Factorization of 10 is 2 x 5

Prime Factorization of 994 is 2 x 7 x 71

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(209, 674) = 140866

GCD(209, 674) = ( 209 x 674 ) / 140866

GCD(209, 674) = 140866 / 140866

GCD(209, 674) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 209, 674, 10, 994 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 708, 47, 841
• GCD of 567, 312, 51, 334
• GCD of 474, 947, 40, 931
• GCD of 735, 671, 64, 117
• GCD of 432, 349, 37, 154

1. What is the GCD of 209, 674, 10, 994?

GCD of 209, 674, 10, 994 is 1

2. Where do I get the detailed procedure to find GCD of 209, 674, 10, 994?

You can find a detailed procedure to find GCD of 209, 674, 10, 994 on our page.

3. How to find GCD of 209, 674, 10, 994 on a calculator?

You can find the GCD of 209, 674, 10, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.