GCD of 802, 196, 98, 668 Calculator

Given Input numbers are 802, 196, 98, 668

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

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 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 802, 196, 98, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 196, 98, 668 is 2.

Therefore, GCD of numbers 802, 196, 98, 668 is 2

Given Input Data is 802, 196, 98, 668

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

Prime Factorization of 802 is 2 x 401

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 668 is 2 x 2 x 167

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(802, 196) = 78596

GCD(802, 196) = ( 802 x 196 ) / 78596

GCD(802, 196) = 157192 / 78596

GCD(802, 196) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 668

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

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

GCD(2, 668) = 1336 / 668

GCD(2, 668) = 2

GCD of 802, 196, 98, 668 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 453, 65, 919
• GCD of 434, 444, 84, 451
• GCD of 513, 301, 66, 414
• GCD of 451, 201, 52, 217
• GCD of 553, 490, 24, 870

1. What is the GCD of 802, 196, 98, 668?

GCD of 802, 196, 98, 668 is 2

2. Where do I get the detailed procedure to find GCD of 802, 196, 98, 668?

You can find a detailed procedure to find GCD of 802, 196, 98, 668 on our page.

3. How to find GCD of 802, 196, 98, 668 on a calculator?

You can find the GCD of 802, 196, 98, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.