GCD of 130, 242, 267, 509 Calculator

Given Input numbers are 130, 242, 267, 509

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 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

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 (130, 242, 267, 509) = 1.

Given numbers are 130, 242, 267, 509

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 242 are 2 x 11 x 11

Prime factors of 267 are 3 x 89

Prime factors of 509 are 509

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

Given numbers are 130, 242, 267, 509

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

Apply this formula for all numbers.

Step1:

LCM(130, 242) = 15730

GCD(130, 242) = ( 130 x 242 ) / 15730

= 130 / 242

= 130

Step2:

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

= 2 / 267

= 2

Step3:

LCM(1, 509) = 509

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

= 1 / 509

= 1

So, Greatest Common Divisor of 130, 242, 267, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 907, 776, 480
• GCD of 344, 111, 454, 670
• GCD of 190, 201, 484, 650
• GCD of 433, 875, 190, 452
• GCD of 201, 249, 931, 129

Given numbers are 130, 242, 267, 509
The greatest common divisor of numbers 130, 242, 267, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 242, 267, 509 is 1.

1. What is the GCD of 130, 242, 267, 509?

GCD of given numbers 130, 242, 267, 509 is 1

2. How to calculate the greatest common divisor of 130, 242, 267, 509?

We can find the highest common divisor of 130, 242, 267, 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 130, 242, 267, 509 i.e 1.

3. How can I use the GCD of 130, 242, 267, 509Calculator?

Out the numbers 130, 242, 267, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.