GCD of 686, 899, 38, 450 Calculator

Given Input numbers are 686, 899, 38, 450

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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

Greatest Common Divisior

We found the divisors of 686, 899, 38, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 899, 38, 450 is 1.

Therefore, GCD of numbers 686, 899, 38, 450 is 1

Given Input Data is 686, 899, 38, 450

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 899 is 29 x 31

Prime Factorization of 38 is 2 x 19

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

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(686, 899) = 616714

GCD(686, 899) = ( 686 x 899 ) / 616714

GCD(686, 899) = 616714 / 616714

GCD(686, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 686, 899, 38, 450 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 977, 29, 836
• GCD of 944, 622, 80, 612
• GCD of 949, 893, 14, 460
• GCD of 196, 420, 79, 787
• GCD of 451, 970, 72, 352

1. What is the GCD of 686, 899, 38, 450?

GCD of 686, 899, 38, 450 is 1

2. Where do I get the detailed procedure to find GCD of 686, 899, 38, 450?

You can find a detailed procedure to find GCD of 686, 899, 38, 450 on our page.

3. How to find GCD of 686, 899, 38, 450 on a calculator?

You can find the GCD of 686, 899, 38, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.