GCD of 135, 917, 958, 986 Calculator

Given Input numbers are 135, 917, 958, 986

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 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 135, 917, 958, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 917, 958, 986 is 1.

Therefore, GCD of numbers 135, 917, 958, 986 is 1

Given Input Data is 135, 917, 958, 986

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 917 is 7 x 131

Prime Factorization of 958 is 2 x 479

Prime Factorization of 986 is 2 x 17 x 29

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, 917) = 123795

GCD(135, 917) = ( 135 x 917 ) / 123795

GCD(135, 917) = 123795 / 123795

GCD(135, 917) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 135, 917, 958, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 847, 711, 430
• GCD of 953, 372, 517, 110
• GCD of 463, 693, 529, 747
• GCD of 633, 937, 823, 885
• GCD of 870, 174, 406, 786

1. What is the GCD of 135, 917, 958, 986?

GCD of 135, 917, 958, 986 is 1

2. Where do I get the detailed procedure to find GCD of 135, 917, 958, 986?

You can find a detailed procedure to find GCD of 135, 917, 958, 986 on our page.

3. How to find GCD of 135, 917, 958, 986 on a calculator?

You can find the GCD of 135, 917, 958, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.