GCD of 135, 155, 300 Calculator

Given Input numbers are 135, 155, 300

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 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (135, 155, 300) = 5.

Given numbers are 135, 155, 300

The list of prime factors of all numbers are

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

Prime factors of 155 are 5 x 31

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 135, 155, 300 is 5.

Given numbers are 135, 155, 300

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

Apply this formula for all numbers.

Step1:

LCM(135, 155) = 4185

GCD(135, 155) = ( 135 x 155 ) / 4185

= 135 / 155

= 135

Step2:

LCM(5, 300) = 300

GCD(5, 300) = ( 5 x 300 ) / 300

= 5 / 300

= 5

So, Greatest Common Divisor of 135, 155, 300 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 588, 815
• GCD of 220, 270, 387
• GCD of 552, 147, 197
• GCD of 597, 637, 867
• GCD of 350, 364, 923

Given numbers are 135, 155, 300
The greatest common divisor of numbers 135, 155, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 155, 300 is 5.

1. What is the GCD of 135, 155, 300?

GCD of given numbers 135, 155, 300 is 5

2. How to calculate the greatest common divisor of 135, 155, 300?

We can find the highest common divisor of 135, 155, 300 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, 155, 300 i.e 5.

3. How can I use the GCD of 135, 155, 300Calculator?

Out the numbers 135, 155, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.