GCD of 133, 537, 78, 109 Calculator

Given Input numbers are 133, 537, 78, 109

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 133, 537, 78, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 537, 78, 109 is 1.

Therefore, GCD of numbers 133, 537, 78, 109 is 1

Given Input Data is 133, 537, 78, 109

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 537 is 3 x 179

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 109 is 109

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(133, 537) = 71421

GCD(133, 537) = ( 133 x 537 ) / 71421

GCD(133, 537) = 71421 / 71421

GCD(133, 537) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 133, 537, 78, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 117, 25, 590
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• GCD of 726, 320, 24, 497
• GCD of 191, 679, 14, 626
• GCD of 594, 598, 19, 290

1. What is the GCD of 133, 537, 78, 109?

GCD of 133, 537, 78, 109 is 1

2. Where do I get the detailed procedure to find GCD of 133, 537, 78, 109?

You can find a detailed procedure to find GCD of 133, 537, 78, 109 on our page.

3. How to find GCD of 133, 537, 78, 109 on a calculator?

You can find the GCD of 133, 537, 78, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.