GCD of 46, 360, 110, 766 Calculator

Given Input numbers are 46, 360, 110, 766

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 46, 360, 110, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 360, 110, 766 is 2.

Therefore, GCD of numbers 46, 360, 110, 766 is 2

Given Input Data is 46, 360, 110, 766

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 766 is 2 x 383

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(46, 360) = 8280

GCD(46, 360) = ( 46 x 360 ) / 8280

GCD(46, 360) = 16560 / 8280

GCD(46, 360) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 766

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

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

GCD(2, 766) = 1532 / 766

GCD(2, 766) = 2

GCD of 46, 360, 110, 766 is 2

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• GCD of 71, 411, 917, 699
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• GCD of 96, 571, 250, 877

1. What is the GCD of 46, 360, 110, 766?

GCD of 46, 360, 110, 766 is 2

2. Where do I get the detailed procedure to find GCD of 46, 360, 110, 766?

You can find a detailed procedure to find GCD of 46, 360, 110, 766 on our page.

3. How to find GCD of 46, 360, 110, 766 on a calculator?

You can find the GCD of 46, 360, 110, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.