GCD of 538, 130, 727, 509 Calculator

Given Input numbers are 538, 130, 727, 509

In the factoring method, we have to find the divisors of all numbers

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

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

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (538, 130, 727, 509) = 1.

Given numbers are 538, 130, 727, 509

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 130 are 2 x 5 x 13

Prime factors of 727 are 727

Prime factors of 509 are 509

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 538, 130, 727, 509

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(538, 130) = 34970

GCD(538, 130) = ( 538 x 130 ) / 34970

= 538 / 130

= 538

Step2:

LCM(2, 727) = 1454

GCD(2, 727) = ( 2 x 727 ) / 1454

= 2 / 727

= 2

Step3:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

So, Greatest Common Divisor of 538, 130, 727, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 233, 829, 325
• GCD of 800, 938, 437, 945
• GCD of 889, 452, 821, 734
• GCD of 353, 260, 195, 438
• GCD of 162, 323, 340, 325

Given numbers are 538, 130, 727, 509
The greatest common divisor of numbers 538, 130, 727, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 130, 727, 509 is 1.

1. What is the GCD of 538, 130, 727, 509?

GCD of given numbers 538, 130, 727, 509 is 1

2. How to calculate the greatest common divisor of 538, 130, 727, 509?

We can find the highest common divisor of 538, 130, 727, 509 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 538, 130, 727, 509 i.e 1.

3. How can I use the GCD of 538, 130, 727, 509Calculator?

Out the numbers 538, 130, 727, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.