GCD of 744, 258, 70, 778 Calculator

Given Input numbers are 744, 258, 70, 778

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 744, 258, 70, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 258, 70, 778 is 2.

Therefore, GCD of numbers 744, 258, 70, 778 is 2

Given Input Data is 744, 258, 70, 778

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 258 is 2 x 3 x 43

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 778 is 2 x 389

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, 258) = 31992

GCD(744, 258) = ( 744 x 258 ) / 31992

GCD(744, 258) = 191952 / 31992

GCD(744, 258) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 70

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

LCM(6, 70) = 210

GCD(6, 70) = ( 6 x 70 ) / 210

GCD(6, 70) = 420 / 210

GCD(6, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 778

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

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

GCD(2, 778) = 1556 / 778

GCD(2, 778) = 2

GCD of 744, 258, 70, 778 is 2

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1. What is the GCD of 744, 258, 70, 778?

GCD of 744, 258, 70, 778 is 2

2. Where do I get the detailed procedure to find GCD of 744, 258, 70, 778?

You can find a detailed procedure to find GCD of 744, 258, 70, 778 on our page.

3. How to find GCD of 744, 258, 70, 778 on a calculator?

You can find the GCD of 744, 258, 70, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.