GCD of 728, 846, 688, 949 Calculator

Given Input numbers are 728, 846, 688, 949

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 949

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

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 728, 846, 688, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 846, 688, 949 is 1.

Therefore, GCD of numbers 728, 846, 688, 949 is 1

Given Input Data is 728, 846, 688, 949

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 949 is 13 x 73

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(728, 846) = 307944

GCD(728, 846) = ( 728 x 846 ) / 307944

GCD(728, 846) = 615888 / 307944

GCD(728, 846) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 949

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

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

GCD(2, 949) = 1898 / 1898

GCD(2, 949) = 1

GCD of 728, 846, 688, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 782, 517, 669
• GCD of 673, 344, 433, 114
• GCD of 220, 333, 447, 767
• GCD of 527, 851, 925, 692
• GCD of 229, 935, 371, 606

1. What is the GCD of 728, 846, 688, 949?

GCD of 728, 846, 688, 949 is 1

2. Where do I get the detailed procedure to find GCD of 728, 846, 688, 949?

You can find a detailed procedure to find GCD of 728, 846, 688, 949 on our page.

3. How to find GCD of 728, 846, 688, 949 on a calculator?

You can find the GCD of 728, 846, 688, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.