GCD of 54, 142, 929, 828 Calculator

Given Input numbers are 54, 142, 929, 828

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 54, 142, 929, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 142, 929, 828 is 1.

Therefore, GCD of numbers 54, 142, 929, 828 is 1

Given Input Data is 54, 142, 929, 828

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 142 is 2 x 71

Prime Factorization of 929 is 929

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(54, 142) = 3834

GCD(54, 142) = ( 54 x 142 ) / 3834

GCD(54, 142) = 7668 / 3834

GCD(54, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 929

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

LCM(2, 929) = 1858

GCD(2, 929) = ( 2 x 929 ) / 1858

GCD(2, 929) = 1858 / 1858

GCD(2, 929) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 54, 142, 929, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 503, 382, 263
• GCD of 29, 135, 207, 396
• GCD of 34, 486, 160, 614
• GCD of 15, 826, 290, 326
• GCD of 38, 921, 305, 587

1. What is the GCD of 54, 142, 929, 828?

GCD of 54, 142, 929, 828 is 1

2. Where do I get the detailed procedure to find GCD of 54, 142, 929, 828?

You can find a detailed procedure to find GCD of 54, 142, 929, 828 on our page.

3. How to find GCD of 54, 142, 929, 828 on a calculator?

You can find the GCD of 54, 142, 929, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.