GCD of 135, 311, 58, 770 Calculator

Given Input numbers are 135, 311, 58, 770

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 135, 311, 58, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 311, 58, 770 is 1.

Therefore, GCD of numbers 135, 311, 58, 770 is 1

Given Input Data is 135, 311, 58, 770

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 311 is 311

Prime Factorization of 58 is 2 x 29

Prime Factorization of 770 is 2 x 5 x 7 x 11

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(135, 311) = 41985

GCD(135, 311) = ( 135 x 311 ) / 41985

GCD(135, 311) = 41985 / 41985

GCD(135, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 135, 311, 58, 770 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 484, 19, 105
• GCD of 768, 435, 57, 328
• GCD of 684, 279, 28, 305
• GCD of 357, 751, 89, 685
• GCD of 960, 883, 42, 770

1. What is the GCD of 135, 311, 58, 770?

GCD of 135, 311, 58, 770 is 1

2. Where do I get the detailed procedure to find GCD of 135, 311, 58, 770?

You can find a detailed procedure to find GCD of 135, 311, 58, 770 on our page.

3. How to find GCD of 135, 311, 58, 770 on a calculator?

You can find the GCD of 135, 311, 58, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.