GCD of 196, 777, 42, 890 Calculator

Given Input numbers are 196, 777, 42, 890

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

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 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 196, 777, 42, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 777, 42, 890 is 1.

Therefore, GCD of numbers 196, 777, 42, 890 is 1

Given Input Data is 196, 777, 42, 890

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

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

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 890 is 2 x 5 x 89

The above numbers do not have any common prime factor. So GCD is 1

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(196, 777) = 21756

GCD(196, 777) = ( 196 x 777 ) / 21756

GCD(196, 777) = 152292 / 21756

GCD(196, 777) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 42

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

LCM(7, 42) = 42

GCD(7, 42) = ( 7 x 42 ) / 42

GCD(7, 42) = 294 / 42

GCD(7, 42) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 890

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

LCM(7, 890) = 6230

GCD(7, 890) = ( 7 x 890 ) / 6230

GCD(7, 890) = 6230 / 6230

GCD(7, 890) = 1

GCD of 196, 777, 42, 890 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 393, 97, 116
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1. What is the GCD of 196, 777, 42, 890?

GCD of 196, 777, 42, 890 is 1

2. Where do I get the detailed procedure to find GCD of 196, 777, 42, 890?

You can find a detailed procedure to find GCD of 196, 777, 42, 890 on our page.

3. How to find GCD of 196, 777, 42, 890 on a calculator?

You can find the GCD of 196, 777, 42, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.