GCD of 899, 640, 509, 690 Calculator

Given Input numbers are 899, 640, 509, 690

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

Divisors of 899

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

1, 29, 31, 899

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 899, 640, 509, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 640, 509, 690 is 1.

Therefore, GCD of numbers 899, 640, 509, 690 is 1

Given Input Data is 899, 640, 509, 690

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 509 is 509

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(899, 640) = 575360

GCD(899, 640) = ( 899 x 640 ) / 575360

GCD(899, 640) = 575360 / 575360

GCD(899, 640) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 899, 640, 509, 690 is 1

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1. What is the GCD of 899, 640, 509, 690?

GCD of 899, 640, 509, 690 is 1

2. Where do I get the detailed procedure to find GCD of 899, 640, 509, 690?

You can find a detailed procedure to find GCD of 899, 640, 509, 690 on our page.

3. How to find GCD of 899, 640, 509, 690 on a calculator?

You can find the GCD of 899, 640, 509, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.