GCD of 272, 473, 35, 890 Calculator

Given Input numbers are 272, 473, 35, 890

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 35

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

1, 5, 7, 35

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 272, 473, 35, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 473, 35, 890 is 1.

Therefore, GCD of numbers 272, 473, 35, 890 is 1

Given Input Data is 272, 473, 35, 890

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 473 is 11 x 43

Prime Factorization of 35 is 5 x 7

Prime Factorization of 890 is 2 x 5 x 89

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(272, 473) = 128656

GCD(272, 473) = ( 272 x 473 ) / 128656

GCD(272, 473) = 128656 / 128656

GCD(272, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 272, 473, 35, 890 is 1

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1. What is the GCD of 272, 473, 35, 890?

GCD of 272, 473, 35, 890 is 1

2. Where do I get the detailed procedure to find GCD of 272, 473, 35, 890?

You can find a detailed procedure to find GCD of 272, 473, 35, 890 on our page.

3. How to find GCD of 272, 473, 35, 890 on a calculator?

You can find the GCD of 272, 473, 35, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.