GCD of 54, 976, 553, 743 Calculator

Given Input numbers are 54, 976, 553, 743

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 54, 976, 553, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 976, 553, 743 is 1.

Therefore, GCD of numbers 54, 976, 553, 743 is 1

Given Input Data is 54, 976, 553, 743

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 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 553 is 7 x 79

Prime Factorization of 743 is 743

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, 976) = 26352

GCD(54, 976) = ( 54 x 976 ) / 26352

GCD(54, 976) = 52704 / 26352

GCD(54, 976) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 54, 976, 553, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 621, 871, 812
• GCD of 27, 635, 987, 994
• GCD of 22, 529, 538, 498
• GCD of 79, 854, 204, 526
• GCD of 90, 709, 559, 901

1. What is the GCD of 54, 976, 553, 743?

GCD of 54, 976, 553, 743 is 1

2. Where do I get the detailed procedure to find GCD of 54, 976, 553, 743?

You can find a detailed procedure to find GCD of 54, 976, 553, 743 on our page.

3. How to find GCD of 54, 976, 553, 743 on a calculator?

You can find the GCD of 54, 976, 553, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.