GCD of 482, 754, 110, 772 Calculator

Given Input numbers are 482, 754, 110, 772

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

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 482, 754, 110, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 754, 110, 772 is 2.

Therefore, GCD of numbers 482, 754, 110, 772 is 2

Given Input Data is 482, 754, 110, 772

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

Prime Factorization of 482 is 2 x 241

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 772 is 2 x 2 x 193

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(482, 754) = 181714

GCD(482, 754) = ( 482 x 754 ) / 181714

GCD(482, 754) = 363428 / 181714

GCD(482, 754) = 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 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

GCD of 482, 754, 110, 772 is 2

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1. What is the GCD of 482, 754, 110, 772?

GCD of 482, 754, 110, 772 is 2

2. Where do I get the detailed procedure to find GCD of 482, 754, 110, 772?

You can find a detailed procedure to find GCD of 482, 754, 110, 772 on our page.

3. How to find GCD of 482, 754, 110, 772 on a calculator?

You can find the GCD of 482, 754, 110, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.