GCD of 135, 284, 469 Calculator

Given Input numbers are 135, 284, 469

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

GCD of numbers is the greatest common divisor

So, the GCD (135, 284, 469) = 1.

Given numbers are 135, 284, 469

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 284 are 2 x 2 x 71

Prime factors of 469 are 7 x 67

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

Given numbers are 135, 284, 469

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

Apply this formula for all numbers.

Step1:

LCM(135, 284) = 38340

GCD(135, 284) = ( 135 x 284 ) / 38340

= 135 / 284

= 135

Step2:

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

= 1 / 469

= 1

So, Greatest Common Divisor of 135, 284, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 287, 511
• GCD of 788, 337, 987
• GCD of 806, 489, 897
• GCD of 798, 539, 332
• GCD of 730, 819, 430

Given numbers are 135, 284, 469
The greatest common divisor of numbers 135, 284, 469 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 284, 469 is 1.

1. What is the GCD of 135, 284, 469?

GCD of given numbers 135, 284, 469 is 1

2. How to calculate the greatest common divisor of 135, 284, 469?

We can find the highest common divisor of 135, 284, 469 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 135, 284, 469 i.e 1.

3. How can I use the GCD of 135, 284, 469Calculator?

Out the numbers 135, 284, 469 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.