GCD of 748, 574, 10, 313 Calculator

Given Input numbers are 748, 574, 10, 313

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 313

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

1, 313

Greatest Common Divisior

We found the divisors of 748, 574, 10, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 574, 10, 313 is 1.

Therefore, GCD of numbers 748, 574, 10, 313 is 1

Given Input Data is 748, 574, 10, 313

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 10 is 2 x 5

Prime Factorization of 313 is 313

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(748, 574) = 214676

GCD(748, 574) = ( 748 x 574 ) / 214676

GCD(748, 574) = 429352 / 214676

GCD(748, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 313

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

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

GCD(2, 313) = 626 / 626

GCD(2, 313) = 1

GCD of 748, 574, 10, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 702, 59, 176
• GCD of 984, 936, 17, 297
• GCD of 468, 229, 61, 214
• GCD of 233, 759, 23, 480
• GCD of 343, 482, 41, 987

1. What is the GCD of 748, 574, 10, 313?

GCD of 748, 574, 10, 313 is 1

2. Where do I get the detailed procedure to find GCD of 748, 574, 10, 313?

You can find a detailed procedure to find GCD of 748, 574, 10, 313 on our page.

3. How to find GCD of 748, 574, 10, 313 on a calculator?

You can find the GCD of 748, 574, 10, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.