GCD of 990, 938, 105, 970 Calculator

Given Input numbers are 990, 938, 105, 970

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 990, 938, 105, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 938, 105, 970 is 1.

Therefore, GCD of numbers 990, 938, 105, 970 is 1

Given Input Data is 990, 938, 105, 970

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 938 is 2 x 7 x 67

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 970 is 2 x 5 x 97

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, 938) = 464310

GCD(990, 938) = ( 990 x 938 ) / 464310

GCD(990, 938) = 928620 / 464310

GCD(990, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 105

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

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

GCD(2, 105) = 210 / 210

GCD(2, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 990, 938, 105, 970 is 1

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1. What is the GCD of 990, 938, 105, 970?

GCD of 990, 938, 105, 970 is 1

2. Where do I get the detailed procedure to find GCD of 990, 938, 105, 970?

You can find a detailed procedure to find GCD of 990, 938, 105, 970 on our page.

3. How to find GCD of 990, 938, 105, 970 on a calculator?

You can find the GCD of 990, 938, 105, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.