GCD of 120, 688, 158, 728 Calculator

Given Input numbers are 120, 688, 158, 728

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

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

Greatest Common Divisior

We found the divisors of 120, 688, 158, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 688, 158, 728 is 2.

Therefore, GCD of numbers 120, 688, 158, 728 is 2

Given Input Data is 120, 688, 158, 728

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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

Prime Factorization of 158 is 2 x 79

Prime Factorization of 728 is 2 x 2 x 2 x 7 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(120, 688) = 10320

GCD(120, 688) = ( 120 x 688 ) / 10320

GCD(120, 688) = 82560 / 10320

GCD(120, 688) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 158

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

LCM(8, 158) = 632

GCD(8, 158) = ( 8 x 158 ) / 632

GCD(8, 158) = 1264 / 632

GCD(8, 158) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

GCD of 120, 688, 158, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 596, 657, 953
• GCD of 865, 338, 664, 495
• GCD of 468, 781, 443, 886
• GCD of 248, 886, 463, 481
• GCD of 354, 724, 171, 835

1. What is the GCD of 120, 688, 158, 728?

GCD of 120, 688, 158, 728 is 2

2. Where do I get the detailed procedure to find GCD of 120, 688, 158, 728?

You can find a detailed procedure to find GCD of 120, 688, 158, 728 on our page.

3. How to find GCD of 120, 688, 158, 728 on a calculator?

You can find the GCD of 120, 688, 158, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.