GCD of 180, 914, 51, 265 Calculator

Given Input numbers are 180, 914, 51, 265

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 914

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

1, 2, 457, 914

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 180, 914, 51, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 914, 51, 265 is 1.

Therefore, GCD of numbers 180, 914, 51, 265 is 1

Given Input Data is 180, 914, 51, 265

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 914 is 2 x 457

Prime Factorization of 51 is 3 x 17

Prime Factorization of 265 is 5 x 53

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(180, 914) = 82260

GCD(180, 914) = ( 180 x 914 ) / 82260

GCD(180, 914) = 164520 / 82260

GCD(180, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 180, 914, 51, 265 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 154, 97, 771
• GCD of 543, 156, 49, 698
• GCD of 560, 941, 49, 467
• GCD of 823, 853, 90, 445
• GCD of 356, 641, 31, 477

1. What is the GCD of 180, 914, 51, 265?

GCD of 180, 914, 51, 265 is 1

2. Where do I get the detailed procedure to find GCD of 180, 914, 51, 265?

You can find a detailed procedure to find GCD of 180, 914, 51, 265 on our page.

3. How to find GCD of 180, 914, 51, 265 on a calculator?

You can find the GCD of 180, 914, 51, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.