GCD of 704, 280, 33, 991 Calculator

Given Input numbers are 704, 280, 33, 991

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 704, 280, 33, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 280, 33, 991 is 1.

Therefore, GCD of numbers 704, 280, 33, 991 is 1

Given Input Data is 704, 280, 33, 991

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 33 is 3 x 11

Prime Factorization of 991 is 991

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(704, 280) = 24640

GCD(704, 280) = ( 704 x 280 ) / 24640

GCD(704, 280) = 197120 / 24640

GCD(704, 280) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 33

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

LCM(8, 33) = 264

GCD(8, 33) = ( 8 x 33 ) / 264

GCD(8, 33) = 264 / 264

GCD(8, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 704, 280, 33, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 327, 36, 482
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• GCD of 357, 879, 33, 413
• GCD of 616, 660, 74, 110

1. What is the GCD of 704, 280, 33, 991?

GCD of 704, 280, 33, 991 is 1

2. Where do I get the detailed procedure to find GCD of 704, 280, 33, 991?

You can find a detailed procedure to find GCD of 704, 280, 33, 991 on our page.

3. How to find GCD of 704, 280, 33, 991 on a calculator?

You can find the GCD of 704, 280, 33, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.