GCD of 764, 490, 634, 544 Calculator

Given Input numbers are 764, 490, 634, 544

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 634

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

1, 2, 317, 634

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Greatest Common Divisior

We found the divisors of 764, 490, 634, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 490, 634, 544 is 2.

Therefore, GCD of numbers 764, 490, 634, 544 is 2

Given Input Data is 764, 490, 634, 544

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 634 is 2 x 317

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

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(764, 490) = 187180

GCD(764, 490) = ( 764 x 490 ) / 187180

GCD(764, 490) = 374360 / 187180

GCD(764, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 544

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

LCM(2, 544) = 544

GCD(2, 544) = ( 2 x 544 ) / 544

GCD(2, 544) = 1088 / 544

GCD(2, 544) = 2

GCD of 764, 490, 634, 544 is 2

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1. What is the GCD of 764, 490, 634, 544?

GCD of 764, 490, 634, 544 is 2

2. Where do I get the detailed procedure to find GCD of 764, 490, 634, 544?

You can find a detailed procedure to find GCD of 764, 490, 634, 544 on our page.

3. How to find GCD of 764, 490, 634, 544 on a calculator?

You can find the GCD of 764, 490, 634, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.