GCD of 509, 468, 299, 253 Calculator

Given Input numbers are 509, 468, 299, 253

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

Divisors of 509 :

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

1, 509

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (509, 468, 299, 253) = 1.

Given numbers are 509, 468, 299, 253

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 299 are 13 x 23

Prime factors of 253 are 11 x 23

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

Given numbers are 509, 468, 299, 253

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

Apply this formula for all numbers.

Step1:

LCM(509, 468) = 238212

GCD(509, 468) = ( 509 x 468 ) / 238212

= 509 / 468

= 509

Step2:

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

= 1 / 299

= 1

Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1

So, Greatest Common Divisor of 509, 468, 299, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 489, 702, 709
• GCD of 238, 901, 961, 338
• GCD of 545, 700, 425, 932
• GCD of 429, 314, 415, 183
• GCD of 284, 473, 337, 831

Given numbers are 509, 468, 299, 253
The greatest common divisor of numbers 509, 468, 299, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 468, 299, 253 is 1.

1. What is the GCD of 509, 468, 299, 253?

GCD of given numbers 509, 468, 299, 253 is 1

2. How to calculate the greatest common divisor of 509, 468, 299, 253?

We can find the highest common divisor of 509, 468, 299, 253 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 509, 468, 299, 253 i.e 1.

3. How can I use the GCD of 509, 468, 299, 253Calculator?

Out the numbers 509, 468, 299, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.