GCD of 313, 500, 93, 120 Calculator

Given Input numbers are 313, 500, 93, 120

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 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 313, 500, 93, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 500, 93, 120 is 1.

Therefore, GCD of numbers 313, 500, 93, 120 is 1

Given Input Data is 313, 500, 93, 120

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

Prime Factorization of 313 is 313

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 93 is 3 x 31

Prime Factorization of 120 is 2 x 2 x 2 x 3 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(313, 500) = 156500

GCD(313, 500) = ( 313 x 500 ) / 156500

GCD(313, 500) = 156500 / 156500

GCD(313, 500) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 93

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

LCM(1, 93) = 93

GCD(1, 93) = ( 1 x 93 ) / 93

GCD(1, 93) = 93 / 93

GCD(1, 93) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 313, 500, 93, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 660, 22, 315
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• GCD of 135, 859, 85, 287
• GCD of 658, 706, 78, 766
• GCD of 867, 578, 31, 530

1. What is the GCD of 313, 500, 93, 120?

GCD of 313, 500, 93, 120 is 1

2. Where do I get the detailed procedure to find GCD of 313, 500, 93, 120?

You can find a detailed procedure to find GCD of 313, 500, 93, 120 on our page.

3. How to find GCD of 313, 500, 93, 120 on a calculator?

You can find the GCD of 313, 500, 93, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.