GCD of 135, 885, 705 Calculator

Given Input numbers are 135, 885, 705

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 885 :

The positive integer divisors of 885 that completely divides 885 are.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (135, 885, 705) = 15.

Given numbers are 135, 885, 705

The list of prime factors of all numbers are

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

Prime factors of 885 are 3 x 5 x 59

Prime factors of 705 are 3 x 5 x 47

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 135, 885, 705 is 15.

Given numbers are 135, 885, 705

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

Apply this formula for all numbers.

Step1:

LCM(135, 885) = 7965

GCD(135, 885) = ( 135 x 885 ) / 7965

= 135 / 885

= 135

Step2:

LCM(15, 705) = 705

GCD(15, 705) = ( 15 x 705 ) / 705

= 15 / 705

= 15

So, Greatest Common Divisor of 135, 885, 705 is 15

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 594, 789
• GCD of 204, 772, 915
• GCD of 715, 936, 718
• GCD of 695, 502, 109
• GCD of 715, 429, 293

Given numbers are 135, 885, 705
The greatest common divisor of numbers 135, 885, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 885, 705 is 15.

1. What is the GCD of 135, 885, 705?

GCD of given numbers 135, 885, 705 is 15

2. How to calculate the greatest common divisor of 135, 885, 705?

We can find the highest common divisor of 135, 885, 705 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, 885, 705 i.e 15.

3. How can I use the GCD of 135, 885, 705Calculator?

Out the numbers 135, 885, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.