GCD of 758, 634, 422, 110 Calculator

Given Input numbers are 758, 634, 422, 110

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

Divisors of 758

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

1, 2, 379, 758

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 110

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

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

Greatest Common Divisior

We found the divisors of 758, 634, 422, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 634, 422, 110 is 2.

Therefore, GCD of numbers 758, 634, 422, 110 is 2

Given Input Data is 758, 634, 422, 110

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 634 is 2 x 317

Prime Factorization of 422 is 2 x 211

Prime Factorization of 110 is 2 x 5 x 11

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(758, 634) = 240286

GCD(758, 634) = ( 758 x 634 ) / 240286

GCD(758, 634) = 480572 / 240286

GCD(758, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 422

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

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

GCD(2, 422) = 844 / 422

GCD(2, 422) = 2

Step3:

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

GCD of 758, 634, 422, 110 is 2

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• GCD of 345, 137, 529, 700
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1. What is the GCD of 758, 634, 422, 110?

GCD of 758, 634, 422, 110 is 2

2. Where do I get the detailed procedure to find GCD of 758, 634, 422, 110?

You can find a detailed procedure to find GCD of 758, 634, 422, 110 on our page.

3. How to find GCD of 758, 634, 422, 110 on a calculator?

You can find the GCD of 758, 634, 422, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.