GCD of 134, 258, 261, 509 Calculator

Given Input numbers are 134, 258, 261, 509

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

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

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 (134, 258, 261, 509) = 1.

Given numbers are 134, 258, 261, 509

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 258 are 2 x 3 x 43

Prime factors of 261 are 3 x 3 x 29

Prime factors of 509 are 509

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

Given numbers are 134, 258, 261, 509

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

Apply this formula for all numbers.

Step1:

LCM(134, 258) = 17286

GCD(134, 258) = ( 134 x 258 ) / 17286

= 134 / 258

= 134

Step2:

LCM(2, 261) = 522

GCD(2, 261) = ( 2 x 261 ) / 522

= 2 / 261

= 2

Step3:

LCM(1, 509) = 509

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

= 1 / 509

= 1

So, Greatest Common Divisor of 134, 258, 261, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 392, 207, 734
• GCD of 190, 352, 830, 581
• GCD of 282, 431, 258, 203
• GCD of 814, 789, 681, 189
• GCD of 225, 595, 104, 826

Given numbers are 134, 258, 261, 509
The greatest common divisor of numbers 134, 258, 261, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 258, 261, 509 is 1.

1. What is the GCD of 134, 258, 261, 509?

GCD of given numbers 134, 258, 261, 509 is 1

2. How to calculate the greatest common divisor of 134, 258, 261, 509?

We can find the highest common divisor of 134, 258, 261, 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 134, 258, 261, 509 i.e 1.

3. How can I use the GCD of 134, 258, 261, 509Calculator?

Out the numbers 134, 258, 261, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.