GCD of 135, 149, 173, 310 Calculator

Given Input numbers are 135, 149, 173, 310

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 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 173 :

The positive integer divisors of 173 that completely divides 173 are.

1, 173

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (135, 149, 173, 310) = 1.

Given numbers are 135, 149, 173, 310

The list of prime factors of all numbers are

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

Prime factors of 149 are 149

Prime factors of 173 are 173

Prime factors of 310 are 2 x 5 x 31

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

Given numbers are 135, 149, 173, 310

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

Apply this formula for all numbers.

Step1:

LCM(135, 149) = 20115

GCD(135, 149) = ( 135 x 149 ) / 20115

= 135 / 149

= 135

Step2:

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

= 1 / 173

= 1

Step3:

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

= 1 / 310

= 1

So, Greatest Common Divisor of 135, 149, 173, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 460, 332, 408
• GCD of 779, 237, 123, 629
• GCD of 227, 370, 322, 966
• GCD of 365, 525, 123, 860
• GCD of 611, 502, 894, 328

Given numbers are 135, 149, 173, 310
The greatest common divisor of numbers 135, 149, 173, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 149, 173, 310 is 1.

1. What is the GCD of 135, 149, 173, 310?

GCD of given numbers 135, 149, 173, 310 is 1

2. How to calculate the greatest common divisor of 135, 149, 173, 310?

We can find the highest common divisor of 135, 149, 173, 310 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, 149, 173, 310 i.e 1.

3. How can I use the GCD of 135, 149, 173, 310Calculator?

Out the numbers 135, 149, 173, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.