GCD of 810, 380, 267, 758 Calculator

Given Input numbers are 810, 380, 267, 758

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 810, 380, 267, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 380, 267, 758 is 1.

Therefore, GCD of numbers 810, 380, 267, 758 is 1

Given Input Data is 810, 380, 267, 758

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 267 is 3 x 89

Prime Factorization of 758 is 2 x 379

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(810, 380) = 30780

GCD(810, 380) = ( 810 x 380 ) / 30780

GCD(810, 380) = 307800 / 30780

GCD(810, 380) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 267

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

LCM(10, 267) = 2670

GCD(10, 267) = ( 10 x 267 ) / 2670

GCD(10, 267) = 2670 / 2670

GCD(10, 267) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 810, 380, 267, 758 is 1

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• GCD of 557, 205, 420, 318
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1. What is the GCD of 810, 380, 267, 758?

GCD of 810, 380, 267, 758 is 1

2. Where do I get the detailed procedure to find GCD of 810, 380, 267, 758?

You can find a detailed procedure to find GCD of 810, 380, 267, 758 on our page.

3. How to find GCD of 810, 380, 267, 758 on a calculator?

You can find the GCD of 810, 380, 267, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.