GCD of 172, 992, 15, 124 Calculator

Given Input numbers are 172, 992, 15, 124

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

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 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Greatest Common Divisior

We found the divisors of 172, 992, 15, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 992, 15, 124 is 1.

Therefore, GCD of numbers 172, 992, 15, 124 is 1

Given Input Data is 172, 992, 15, 124

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

Prime Factorization of 172 is 2 x 2 x 43

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 124 is 2 x 2 x 31

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(172, 992) = 42656

GCD(172, 992) = ( 172 x 992 ) / 42656

GCD(172, 992) = 170624 / 42656

GCD(172, 992) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 15

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

LCM(4, 15) = 60

GCD(4, 15) = ( 4 x 15 ) / 60

GCD(4, 15) = 60 / 60

GCD(4, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 124

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

LCM(1, 124) = 124

GCD(1, 124) = ( 1 x 124 ) / 124

GCD(1, 124) = 124 / 124

GCD(1, 124) = 1

GCD of 172, 992, 15, 124 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 747, 87, 670
• GCD of 175, 567, 98, 691
• GCD of 141, 801, 85, 260
• GCD of 724, 445, 89, 876
• GCD of 991, 969, 50, 296

1. What is the GCD of 172, 992, 15, 124?

GCD of 172, 992, 15, 124 is 1

2. Where do I get the detailed procedure to find GCD of 172, 992, 15, 124?

You can find a detailed procedure to find GCD of 172, 992, 15, 124 on our page.

3. How to find GCD of 172, 992, 15, 124 on a calculator?

You can find the GCD of 172, 992, 15, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.