GCD of 538, 523, 294, 354 Calculator

Given Input numbers are 538, 523, 294, 354

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 523

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

1, 523

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 538, 523, 294, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 523, 294, 354 is 1.

Therefore, GCD of numbers 538, 523, 294, 354 is 1

Given Input Data is 538, 523, 294, 354

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 523 is 523

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 354 is 2 x 3 x 59

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(538, 523) = 281374

GCD(538, 523) = ( 538 x 523 ) / 281374

GCD(538, 523) = 281374 / 281374

GCD(538, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 538, 523, 294, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 437, 767, 681
• GCD of 548, 778, 844, 605
• GCD of 181, 300, 224, 315
• GCD of 918, 329, 877, 300
• GCD of 607, 965, 883, 779

1. What is the GCD of 538, 523, 294, 354?

GCD of 538, 523, 294, 354 is 1

2. Where do I get the detailed procedure to find GCD of 538, 523, 294, 354?

You can find a detailed procedure to find GCD of 538, 523, 294, 354 on our page.

3. How to find GCD of 538, 523, 294, 354 on a calculator?

You can find the GCD of 538, 523, 294, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.