GCD of 990, 196, 98, 749 Calculator

Given Input numbers are 990, 196, 98, 749

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 990, 196, 98, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 196, 98, 749 is 1.

Therefore, GCD of numbers 990, 196, 98, 749 is 1

Given Input Data is 990, 196, 98, 749

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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 749 is 7 x 107

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(990, 196) = 97020

GCD(990, 196) = ( 990 x 196 ) / 97020

GCD(990, 196) = 194040 / 97020

GCD(990, 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 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

GCD of 990, 196, 98, 749 is 1

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1. What is the GCD of 990, 196, 98, 749?

GCD of 990, 196, 98, 749 is 1

2. Where do I get the detailed procedure to find GCD of 990, 196, 98, 749?

You can find a detailed procedure to find GCD of 990, 196, 98, 749 on our page.

3. How to find GCD of 990, 196, 98, 749 on a calculator?

You can find the GCD of 990, 196, 98, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.