GCD of 744, 668, 902, 770 Calculator

Given Input numbers are 744, 668, 902, 770

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

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 744, 668, 902, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 668, 902, 770 is 2.

Therefore, GCD of numbers 744, 668, 902, 770 is 2

Given Input Data is 744, 668, 902, 770

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 902 is 2 x 11 x 41

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(744, 668) = 124248

GCD(744, 668) = ( 744 x 668 ) / 124248

GCD(744, 668) = 496992 / 124248

GCD(744, 668) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 902

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

LCM(4, 902) = 1804

GCD(4, 902) = ( 4 x 902 ) / 1804

GCD(4, 902) = 3608 / 1804

GCD(4, 902) = 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 744, 668, 902, 770 is 2

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1. What is the GCD of 744, 668, 902, 770?

GCD of 744, 668, 902, 770 is 2

2. Where do I get the detailed procedure to find GCD of 744, 668, 902, 770?

You can find a detailed procedure to find GCD of 744, 668, 902, 770 on our page.

3. How to find GCD of 744, 668, 902, 770 on a calculator?

You can find the GCD of 744, 668, 902, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.