GCD of 548, 544, 121, 523 Calculator

Given Input numbers are 548, 544, 121, 523

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 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 548, 544, 121, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 544, 121, 523 is 1.

Therefore, GCD of numbers 548, 544, 121, 523 is 1

Given Input Data is 548, 544, 121, 523

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 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 121 is 11 x 11

Prime Factorization of 523 is 523

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, 544) = 74528

GCD(548, 544) = ( 548 x 544 ) / 74528

GCD(548, 544) = 298112 / 74528

GCD(548, 544) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 121

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

LCM(4, 121) = 484

GCD(4, 121) = ( 4 x 121 ) / 484

GCD(4, 121) = 484 / 484

GCD(4, 121) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 548, 544, 121, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 144, 988, 520
• GCD of 897, 830, 667, 156
• GCD of 938, 292, 595, 448
• GCD of 453, 221, 632, 842
• GCD of 325, 245, 247, 364

1. What is the GCD of 548, 544, 121, 523?

GCD of 548, 544, 121, 523 is 1

2. Where do I get the detailed procedure to find GCD of 548, 544, 121, 523?

You can find a detailed procedure to find GCD of 548, 544, 121, 523 on our page.

3. How to find GCD of 548, 544, 121, 523 on a calculator?

You can find the GCD of 548, 544, 121, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.