GCD of 165, 667, 914, 935 Calculator

Given Input numbers are 165, 667, 914, 935

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Greatest Common Divisior

We found the divisors of 165, 667, 914, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 667, 914, 935 is 1.

Therefore, GCD of numbers 165, 667, 914, 935 is 1

Given Input Data is 165, 667, 914, 935

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 667 is 23 x 29

Prime Factorization of 914 is 2 x 457

Prime Factorization of 935 is 5 x 11 x 17

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(165, 667) = 110055

GCD(165, 667) = ( 165 x 667 ) / 110055

GCD(165, 667) = 110055 / 110055

GCD(165, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 935

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

LCM(1, 935) = 935

GCD(1, 935) = ( 1 x 935 ) / 935

GCD(1, 935) = 935 / 935

GCD(1, 935) = 1

GCD of 165, 667, 914, 935 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 102, 399, 254
• GCD of 159, 810, 563, 219
• GCD of 976, 712, 830, 771
• GCD of 285, 986, 548, 493
• GCD of 871, 805, 472, 820

1. What is the GCD of 165, 667, 914, 935?

GCD of 165, 667, 914, 935 is 1

2. Where do I get the detailed procedure to find GCD of 165, 667, 914, 935?

You can find a detailed procedure to find GCD of 165, 667, 914, 935 on our page.

3. How to find GCD of 165, 667, 914, 935 on a calculator?

You can find the GCD of 165, 667, 914, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.