GCD of 765, 277, 72, 258 Calculator

Given Input numbers are 765, 277, 72, 258

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

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 765, 277, 72, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 277, 72, 258 is 1.

Therefore, GCD of numbers 765, 277, 72, 258 is 1

Given Input Data is 765, 277, 72, 258

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

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 277 is 277

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 258 is 2 x 3 x 43

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(765, 277) = 211905

GCD(765, 277) = ( 765 x 277 ) / 211905

GCD(765, 277) = 211905 / 211905

GCD(765, 277) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 765, 277, 72, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 694, 96, 178
• GCD of 179, 374, 54, 541
• GCD of 205, 185, 85, 337
• GCD of 943, 587, 82, 105
• GCD of 800, 670, 52, 126

1. What is the GCD of 765, 277, 72, 258?

GCD of 765, 277, 72, 258 is 1

2. Where do I get the detailed procedure to find GCD of 765, 277, 72, 258?

You can find a detailed procedure to find GCD of 765, 277, 72, 258 on our page.

3. How to find GCD of 765, 277, 72, 258 on a calculator?

You can find the GCD of 765, 277, 72, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.