GCD of 548, 992, 112, 125 Calculator

Given Input numbers are 548, 992, 112, 125

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 548, 992, 112, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 992, 112, 125 is 1.

Therefore, GCD of numbers 548, 992, 112, 125 is 1

Given Input Data is 548, 992, 112, 125

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 125 is 5 x 5 x 5

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(548, 992) = 135904

GCD(548, 992) = ( 548 x 992 ) / 135904

GCD(548, 992) = 543616 / 135904

GCD(548, 992) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 112

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

LCM(4, 112) = 112

GCD(4, 112) = ( 4 x 112 ) / 112

GCD(4, 112) = 448 / 112

GCD(4, 112) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 125

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

LCM(4, 125) = 500

GCD(4, 125) = ( 4 x 125 ) / 500

GCD(4, 125) = 500 / 500

GCD(4, 125) = 1

GCD of 548, 992, 112, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 232, 851, 415
• GCD of 502, 207, 377, 398
• GCD of 636, 737, 142, 594
• GCD of 465, 713, 135, 828
• GCD of 544, 945, 981, 867

1. What is the GCD of 548, 992, 112, 125?

GCD of 548, 992, 112, 125 is 1

2. Where do I get the detailed procedure to find GCD of 548, 992, 112, 125?

You can find a detailed procedure to find GCD of 548, 992, 112, 125 on our page.

3. How to find GCD of 548, 992, 112, 125 on a calculator?

You can find the GCD of 548, 992, 112, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.