GCD of 313, 654, 50, 554 Calculator

Given Input numbers are 313, 654, 50, 554

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

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 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 313, 654, 50, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 654, 50, 554 is 1.

Therefore, GCD of numbers 313, 654, 50, 554 is 1

Given Input Data is 313, 654, 50, 554

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

Prime Factorization of 313 is 313

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 554 is 2 x 277

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(313, 654) = 204702

GCD(313, 654) = ( 313 x 654 ) / 204702

GCD(313, 654) = 204702 / 204702

GCD(313, 654) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

GCD of 313, 654, 50, 554 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 755, 63, 670
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• GCD of 488, 926, 91, 703
• GCD of 384, 364, 62, 996
• GCD of 993, 493, 21, 536

1. What is the GCD of 313, 654, 50, 554?

GCD of 313, 654, 50, 554 is 1

2. Where do I get the detailed procedure to find GCD of 313, 654, 50, 554?

You can find a detailed procedure to find GCD of 313, 654, 50, 554 on our page.

3. How to find GCD of 313, 654, 50, 554 on a calculator?

You can find the GCD of 313, 654, 50, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.