GCD of 24, 700, 248, 314 Calculator

Given Input numbers are 24, 700, 248, 314

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 24, 700, 248, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 700, 248, 314 is 2.

Therefore, GCD of numbers 24, 700, 248, 314 is 2

Given Input Data is 24, 700, 248, 314

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 314 is 2 x 157

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(24, 700) = 4200

GCD(24, 700) = ( 24 x 700 ) / 4200

GCD(24, 700) = 16800 / 4200

GCD(24, 700) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 248

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

LCM(4, 248) = 248

GCD(4, 248) = ( 4 x 248 ) / 248

GCD(4, 248) = 992 / 248

GCD(4, 248) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 314

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

LCM(4, 314) = 628

GCD(4, 314) = ( 4 x 314 ) / 628

GCD(4, 314) = 1256 / 628

GCD(4, 314) = 2

GCD of 24, 700, 248, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 578, 726, 203
• GCD of 27, 413, 624, 473
• GCD of 82, 475, 347, 620
• GCD of 55, 400, 986, 944
• GCD of 89, 102, 260, 795

1. What is the GCD of 24, 700, 248, 314?

GCD of 24, 700, 248, 314 is 2

2. Where do I get the detailed procedure to find GCD of 24, 700, 248, 314?

You can find a detailed procedure to find GCD of 24, 700, 248, 314 on our page.

3. How to find GCD of 24, 700, 248, 314 on a calculator?

You can find the GCD of 24, 700, 248, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.