GCD of 650, 124, 312 Calculator

Given Input numbers are 650, 124, 312

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

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 650, 124, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 124, 312 is 2.

Therefore, GCD of numbers 650, 124, 312 is 2

Given Input Data is 650, 124, 312

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

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 312 is 2 x 2 x 2 x 3 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(650, 124) = 40300

GCD(650, 124) = ( 650 x 124 ) / 40300

GCD(650, 124) = 80600 / 40300

GCD(650, 124) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 312

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

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

GCD(2, 312) = 624 / 312

GCD(2, 312) = 2

GCD of 650, 124, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 772, 626
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• GCD of 725, 130, 143
• GCD of 368, 828, 171
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1. What is the GCD of 650, 124, 312?

GCD of 650, 124, 312 is 2

2. Where do I get the detailed procedure to find GCD of 650, 124, 312?

You can find a detailed procedure to find GCD of 650, 124, 312 on our page.

3. How to find GCD of 650, 124, 312 on a calculator?

You can find the GCD of 650, 124, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.