GCD of 918, 303, 55, 765 Calculator

Given Input numbers are 918, 303, 55, 765

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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

Greatest Common Divisior

We found the divisors of 918, 303, 55, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 303, 55, 765 is 1.

Therefore, GCD of numbers 918, 303, 55, 765 is 1

Given Input Data is 918, 303, 55, 765

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 303 is 3 x 101

Prime Factorization of 55 is 5 x 11

Prime Factorization of 765 is 3 x 3 x 5 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(918, 303) = 92718

GCD(918, 303) = ( 918 x 303 ) / 92718

GCD(918, 303) = 278154 / 92718

GCD(918, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 55

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

LCM(3, 55) = 165

GCD(3, 55) = ( 3 x 55 ) / 165

GCD(3, 55) = 165 / 165

GCD(3, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 918, 303, 55, 765 is 1

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• GCD of 501, 124, 37, 842
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• GCD of 414, 821, 66, 645

1. What is the GCD of 918, 303, 55, 765?

GCD of 918, 303, 55, 765 is 1

2. Where do I get the detailed procedure to find GCD of 918, 303, 55, 765?

You can find a detailed procedure to find GCD of 918, 303, 55, 765 on our page.

3. How to find GCD of 918, 303, 55, 765 on a calculator?

You can find the GCD of 918, 303, 55, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.