GCD of 533, 507, 785, 130 Calculator

Given Input numbers are 533, 507, 785, 130

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

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 533, 507, 785, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 507, 785, 130 is 1.

Therefore, GCD of numbers 533, 507, 785, 130 is 1

Given Input Data is 533, 507, 785, 130

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

Prime Factorization of 533 is 13 x 41

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 785 is 5 x 157

Prime Factorization of 130 is 2 x 5 x 13

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(533, 507) = 20787

GCD(533, 507) = ( 533 x 507 ) / 20787

GCD(533, 507) = 270231 / 20787

GCD(533, 507) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 785

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

LCM(13, 785) = 10205

GCD(13, 785) = ( 13 x 785 ) / 10205

GCD(13, 785) = 10205 / 10205

GCD(13, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 533, 507, 785, 130 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 281, 985, 394
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• GCD of 376, 183, 758, 943
• GCD of 156, 378, 379, 260
• GCD of 756, 841, 688, 631

1. What is the GCD of 533, 507, 785, 130?

GCD of 533, 507, 785, 130 is 1

2. Where do I get the detailed procedure to find GCD of 533, 507, 785, 130?

You can find a detailed procedure to find GCD of 533, 507, 785, 130 on our page.

3. How to find GCD of 533, 507, 785, 130 on a calculator?

You can find the GCD of 533, 507, 785, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.