GCD of 949, 298, 383, 724 Calculator

Given Input numbers are 949, 298, 383, 724

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 949, 298, 383, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 298, 383, 724 is 1.

Therefore, GCD of numbers 949, 298, 383, 724 is 1

Given Input Data is 949, 298, 383, 724

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 298 is 2 x 149

Prime Factorization of 383 is 383

Prime Factorization of 724 is 2 x 2 x 181

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(949, 298) = 282802

GCD(949, 298) = ( 949 x 298 ) / 282802

GCD(949, 298) = 282802 / 282802

GCD(949, 298) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 949, 298, 383, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 699, 344, 188
• GCD of 420, 651, 407, 956
• GCD of 466, 233, 430, 504
• GCD of 431, 338, 788, 938
• GCD of 879, 326, 157, 121

1. What is the GCD of 949, 298, 383, 724?

GCD of 949, 298, 383, 724 is 1

2. Where do I get the detailed procedure to find GCD of 949, 298, 383, 724?

You can find a detailed procedure to find GCD of 949, 298, 383, 724 on our page.

3. How to find GCD of 949, 298, 383, 724 on a calculator?

You can find the GCD of 949, 298, 383, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.