GCD of 778, 196, 804, 358 Calculator

Given Input numbers are 778, 196, 804, 358

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 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 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 778, 196, 804, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 196, 804, 358 is 2.

Therefore, GCD of numbers 778, 196, 804, 358 is 2

Given Input Data is 778, 196, 804, 358

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

Prime Factorization of 778 is 2 x 389

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 358 is 2 x 179

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, 196) = 76244

GCD(778, 196) = ( 778 x 196 ) / 76244

GCD(778, 196) = 152488 / 76244

GCD(778, 196) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 804

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

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

GCD(2, 804) = 1608 / 804

GCD(2, 804) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 358

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

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

GCD(2, 358) = 716 / 358

GCD(2, 358) = 2

GCD of 778, 196, 804, 358 is 2

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1. What is the GCD of 778, 196, 804, 358?

GCD of 778, 196, 804, 358 is 2

2. Where do I get the detailed procedure to find GCD of 778, 196, 804, 358?

You can find a detailed procedure to find GCD of 778, 196, 804, 358 on our page.

3. How to find GCD of 778, 196, 804, 358 on a calculator?

You can find the GCD of 778, 196, 804, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.