GCD of 778, 522, 196, 742 Calculator

Given Input numbers are 778, 522, 196, 742

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

Divisors of 778

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

1, 2, 389, 778

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 778, 522, 196, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 522, 196, 742 is 2.

Therefore, GCD of numbers 778, 522, 196, 742 is 2

Given Input Data is 778, 522, 196, 742

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 742 is 2 x 7 x 53

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(778, 522) = 203058

GCD(778, 522) = ( 778 x 522 ) / 203058

GCD(778, 522) = 406116 / 203058

GCD(778, 522) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 196

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

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

GCD(2, 196) = 392 / 196

GCD(2, 196) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

GCD of 778, 522, 196, 742 is 2

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1. What is the GCD of 778, 522, 196, 742?

GCD of 778, 522, 196, 742 is 2

2. Where do I get the detailed procedure to find GCD of 778, 522, 196, 742?

You can find a detailed procedure to find GCD of 778, 522, 196, 742 on our page.

3. How to find GCD of 778, 522, 196, 742 on a calculator?

You can find the GCD of 778, 522, 196, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.