GCD of 130, 504, 655, 218 Calculator

Given Input numbers are 130, 504, 655, 218

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

Divisors of 130 :

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

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (130, 504, 655, 218) = 1.

Given numbers are 130, 504, 655, 218

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 655 are 5 x 131

Prime factors of 218 are 2 x 109

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

Given numbers are 130, 504, 655, 218

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

Apply this formula for all numbers.

Step1:

LCM(130, 504) = 32760

GCD(130, 504) = ( 130 x 504 ) / 32760

= 130 / 504

= 130

Step2:

LCM(2, 655) = 1310

GCD(2, 655) = ( 2 x 655 ) / 1310

= 2 / 655

= 2

Step3:

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

= 1 / 218

= 1

So, Greatest Common Divisor of 130, 504, 655, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 993, 199, 722
• GCD of 405, 259, 177, 242
• GCD of 537, 786, 836, 214
• GCD of 588, 918, 161, 538
• GCD of 224, 237, 396, 921

Given numbers are 130, 504, 655, 218
The greatest common divisor of numbers 130, 504, 655, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 504, 655, 218 is 1.

1. What is the GCD of 130, 504, 655, 218?

GCD of given numbers 130, 504, 655, 218 is 1

2. How to calculate the greatest common divisor of 130, 504, 655, 218?

We can find the highest common divisor of 130, 504, 655, 218 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 130, 504, 655, 218 i.e 1.

3. How can I use the GCD of 130, 504, 655, 218Calculator?

Out the numbers 130, 504, 655, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.