GCD of 654, 890, 15, 440 Calculator

Given Input numbers are 654, 890, 15, 440

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 654, 890, 15, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 890, 15, 440 is 1.

Therefore, GCD of numbers 654, 890, 15, 440 is 1

Given Input Data is 654, 890, 15, 440

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 15 is 3 x 5

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(654, 890) = 291030

GCD(654, 890) = ( 654 x 890 ) / 291030

GCD(654, 890) = 582060 / 291030

GCD(654, 890) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 654, 890, 15, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 602, 12, 994
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• GCD of 938, 469, 15, 945
• GCD of 819, 222, 94, 910
• GCD of 255, 524, 10, 380

1. What is the GCD of 654, 890, 15, 440?

GCD of 654, 890, 15, 440 is 1

2. Where do I get the detailed procedure to find GCD of 654, 890, 15, 440?

You can find a detailed procedure to find GCD of 654, 890, 15, 440 on our page.

3. How to find GCD of 654, 890, 15, 440 on a calculator?

You can find the GCD of 654, 890, 15, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.