GCD of 919, 827, 108, 266 Calculator

Given Input numbers are 919, 827, 108, 266

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

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 919, 827, 108, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 919, 827, 108, 266 is 1.

Therefore, GCD of numbers 919, 827, 108, 266 is 1

Given Input Data is 919, 827, 108, 266

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

Prime Factorization of 919 is 919

Prime Factorization of 827 is 827

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 266 is 2 x 7 x 19

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(919, 827) = 760013

GCD(919, 827) = ( 919 x 827 ) / 760013

GCD(919, 827) = 760013 / 760013

GCD(919, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

GCD of 919, 827, 108, 266 is 1

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• GCD of 664, 583, 914, 868
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1. What is the GCD of 919, 827, 108, 266?

GCD of 919, 827, 108, 266 is 1

2. Where do I get the detailed procedure to find GCD of 919, 827, 108, 266?

You can find a detailed procedure to find GCD of 919, 827, 108, 266 on our page.

3. How to find GCD of 919, 827, 108, 266 on a calculator?

You can find the GCD of 919, 827, 108, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.