GCD of 135, 894, 343, 493 Calculator

Given Input numbers are 135, 894, 343, 493

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 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

GCD of numbers is the greatest common divisor

So, the GCD (135, 894, 343, 493) = 1.

Given numbers are 135, 894, 343, 493

The list of prime factors of all numbers are

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

Prime factors of 894 are 2 x 3 x 149

Prime factors of 343 are 7 x 7 x 7

Prime factors of 493 are 17 x 29

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

Given numbers are 135, 894, 343, 493

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

Apply this formula for all numbers.

Step1:

LCM(135, 894) = 40230

GCD(135, 894) = ( 135 x 894 ) / 40230

= 135 / 894

= 135

Step2:

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

= 3 / 343

= 3

Step3:

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

= 1 / 493

= 1

So, Greatest Common Divisor of 135, 894, 343, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 194, 699, 843
• GCD of 396, 165, 137, 106
• GCD of 288, 556, 123, 978
• GCD of 654, 517, 251, 309
• GCD of 995, 649, 239, 878

Given numbers are 135, 894, 343, 493
The greatest common divisor of numbers 135, 894, 343, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 894, 343, 493 is 1.

1. What is the GCD of 135, 894, 343, 493?

GCD of given numbers 135, 894, 343, 493 is 1

2. How to calculate the greatest common divisor of 135, 894, 343, 493?

We can find the highest common divisor of 135, 894, 343, 493 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, 894, 343, 493 i.e 1.

3. How can I use the GCD of 135, 894, 343, 493Calculator?

Out the numbers 135, 894, 343, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.