GCD of 684, 899, 31, 160 Calculator

Given Input numbers are 684, 899, 31, 160

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 899

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

1, 29, 31, 899

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 684, 899, 31, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 899, 31, 160 is 1.

Therefore, GCD of numbers 684, 899, 31, 160 is 1

Given Input Data is 684, 899, 31, 160

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 899 is 29 x 31

Prime Factorization of 31 is 31

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 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(684, 899) = 614916

GCD(684, 899) = ( 684 x 899 ) / 614916

GCD(684, 899) = 614916 / 614916

GCD(684, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 684, 899, 31, 160 is 1

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1. What is the GCD of 684, 899, 31, 160?

GCD of 684, 899, 31, 160 is 1

2. Where do I get the detailed procedure to find GCD of 684, 899, 31, 160?

You can find a detailed procedure to find GCD of 684, 899, 31, 160 on our page.

3. How to find GCD of 684, 899, 31, 160 on a calculator?

You can find the GCD of 684, 899, 31, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.