GCD of 648, 722, 22, 770 Calculator

Given Input numbers are 648, 722, 22, 770

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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 648, 722, 22, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 722, 22, 770 is 2.

Therefore, GCD of numbers 648, 722, 22, 770 is 2

Given Input Data is 648, 722, 22, 770

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 22 is 2 x 11

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(648, 722) = 233928

GCD(648, 722) = ( 648 x 722 ) / 233928

GCD(648, 722) = 467856 / 233928

GCD(648, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 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 648, 722, 22, 770 is 2

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1. What is the GCD of 648, 722, 22, 770?

GCD of 648, 722, 22, 770 is 2

2. Where do I get the detailed procedure to find GCD of 648, 722, 22, 770?

You can find a detailed procedure to find GCD of 648, 722, 22, 770 on our page.

3. How to find GCD of 648, 722, 22, 770 on a calculator?

You can find the GCD of 648, 722, 22, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.