GCD of 54, 980, 791, 224 Calculator

Given Input numbers are 54, 980, 791, 224

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 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 54, 980, 791, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 980, 791, 224 is 1.

Therefore, GCD of numbers 54, 980, 791, 224 is 1

Given Input Data is 54, 980, 791, 224

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 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 791 is 7 x 113

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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, 980) = 26460

GCD(54, 980) = ( 54 x 980 ) / 26460

GCD(54, 980) = 52920 / 26460

GCD(54, 980) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 791

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

LCM(2, 791) = 1582

GCD(2, 791) = ( 2 x 791 ) / 1582

GCD(2, 791) = 1582 / 1582

GCD(2, 791) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 54, 980, 791, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 905, 692, 186
• GCD of 19, 811, 890, 975
• GCD of 54, 484, 528, 693
• GCD of 31, 950, 918, 322
• GCD of 72, 263, 924, 478

1. What is the GCD of 54, 980, 791, 224?

GCD of 54, 980, 791, 224 is 1

2. Where do I get the detailed procedure to find GCD of 54, 980, 791, 224?

You can find a detailed procedure to find GCD of 54, 980, 791, 224 on our page.

3. How to find GCD of 54, 980, 791, 224 on a calculator?

You can find the GCD of 54, 980, 791, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.