GCD of 762, 758, 778, 774 Calculator

Given Input numbers are 762, 758, 778, 774

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 778

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

1, 2, 389, 778

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 762, 758, 778, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 758, 778, 774 is 2.

Therefore, GCD of numbers 762, 758, 778, 774 is 2

Given Input Data is 762, 758, 778, 774

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 758 is 2 x 379

Prime Factorization of 778 is 2 x 389

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(762, 758) = 288798

GCD(762, 758) = ( 762 x 758 ) / 288798

GCD(762, 758) = 577596 / 288798

GCD(762, 758) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 774

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

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

GCD(2, 774) = 1548 / 774

GCD(2, 774) = 2

GCD of 762, 758, 778, 774 is 2

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1. What is the GCD of 762, 758, 778, 774?

GCD of 762, 758, 778, 774 is 2

2. Where do I get the detailed procedure to find GCD of 762, 758, 778, 774?

You can find a detailed procedure to find GCD of 762, 758, 778, 774 on our page.

3. How to find GCD of 762, 758, 778, 774 on a calculator?

You can find the GCD of 762, 758, 778, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.