GCD of 990, 274, 35, 528 Calculator

Given Input numbers are 990, 274, 35, 528

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 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 990, 274, 35, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 274, 35, 528 is 1.

Therefore, GCD of numbers 990, 274, 35, 528 is 1

Given Input Data is 990, 274, 35, 528

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 274 is 2 x 137

Prime Factorization of 35 is 5 x 7

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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, 274) = 135630

GCD(990, 274) = ( 990 x 274 ) / 135630

GCD(990, 274) = 271260 / 135630

GCD(990, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 990, 274, 35, 528 is 1

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1. What is the GCD of 990, 274, 35, 528?

GCD of 990, 274, 35, 528 is 1

2. Where do I get the detailed procedure to find GCD of 990, 274, 35, 528?

You can find a detailed procedure to find GCD of 990, 274, 35, 528 on our page.

3. How to find GCD of 990, 274, 35, 528 on a calculator?

You can find the GCD of 990, 274, 35, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.