GCD of 654, 890, 14, 390 Calculator

Given Input numbers are 654, 890, 14, 390

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 654, 890, 14, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 890, 14, 390 is 2.

Therefore, GCD of numbers 654, 890, 14, 390 is 2

Given Input Data is 654, 890, 14, 390

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 14 is 2 x 7

Prime Factorization of 390 is 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 390

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

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

GCD(2, 390) = 780 / 390

GCD(2, 390) = 2

GCD of 654, 890, 14, 390 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 958, 85, 235
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• GCD of 813, 291, 94, 859
• GCD of 615, 916, 23, 797
• GCD of 265, 544, 35, 918

1. What is the GCD of 654, 890, 14, 390?

GCD of 654, 890, 14, 390 is 2

2. Where do I get the detailed procedure to find GCD of 654, 890, 14, 390?

You can find a detailed procedure to find GCD of 654, 890, 14, 390 on our page.

3. How to find GCD of 654, 890, 14, 390 on a calculator?

You can find the GCD of 654, 890, 14, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.