GCD of 363, 513, 523, 130 Calculator

Given Input numbers are 363, 513, 523, 130

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 130 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (363, 513, 523, 130) = 1.

Given numbers are 363, 513, 523, 130

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 523 are 523

Prime factors of 130 are 2 x 5 x 13

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

Given numbers are 363, 513, 523, 130

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

Apply this formula for all numbers.

Step1:

LCM(363, 513) = 62073

GCD(363, 513) = ( 363 x 513 ) / 62073

= 363 / 513

= 363

Step2:

LCM(3, 523) = 1569

GCD(3, 523) = ( 3 x 523 ) / 1569

= 3 / 523

= 3

Step3:

LCM(1, 130) = 130

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

= 1 / 130

= 1

So, Greatest Common Divisor of 363, 513, 523, 130 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 139, 607, 798
• GCD of 899, 393, 627, 434
• GCD of 112, 578, 459, 906
• GCD of 505, 874, 180, 275
• GCD of 905, 664, 857, 614

Given numbers are 363, 513, 523, 130
The greatest common divisor of numbers 363, 513, 523, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 513, 523, 130 is 1.

1. What is the GCD of 363, 513, 523, 130?

GCD of given numbers 363, 513, 523, 130 is 1

2. How to calculate the greatest common divisor of 363, 513, 523, 130?

We can find the highest common divisor of 363, 513, 523, 130 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 363, 513, 523, 130 i.e 1.

3. How can I use the GCD of 363, 513, 523, 130Calculator?

Out the numbers 363, 513, 523, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.