GCD of 626, 644, 58, 770 Calculator

Given Input numbers are 626, 644, 58, 770

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

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 626, 644, 58, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 626, 644, 58, 770 is 2.

Therefore, GCD of numbers 626, 644, 58, 770 is 2

Given Input Data is 626, 644, 58, 770

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

Prime Factorization of 626 is 2 x 313

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 58 is 2 x 29

Prime Factorization of 770 is 2 x 5 x 7 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(626, 644) = 201572

GCD(626, 644) = ( 626 x 644 ) / 201572

GCD(626, 644) = 403144 / 201572

GCD(626, 644) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 770

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

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

GCD(2, 770) = 1540 / 770

GCD(2, 770) = 2

GCD of 626, 644, 58, 770 is 2

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1. What is the GCD of 626, 644, 58, 770?

GCD of 626, 644, 58, 770 is 2

2. Where do I get the detailed procedure to find GCD of 626, 644, 58, 770?

You can find a detailed procedure to find GCD of 626, 644, 58, 770 on our page.

3. How to find GCD of 626, 644, 58, 770 on a calculator?

You can find the GCD of 626, 644, 58, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.