GCD of 272, 930, 49, 985 Calculator

Given Input numbers are 272, 930, 49, 985

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 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 272, 930, 49, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 930, 49, 985 is 1.

Therefore, GCD of numbers 272, 930, 49, 985 is 1

Given Input Data is 272, 930, 49, 985

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 930 is 2 x 3 x 5 x 31

Prime Factorization of 49 is 7 x 7

Prime Factorization of 985 is 5 x 197

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, 930) = 126480

GCD(272, 930) = ( 272 x 930 ) / 126480

GCD(272, 930) = 252960 / 126480

GCD(272, 930) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

GCD of 272, 930, 49, 985 is 1

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1. What is the GCD of 272, 930, 49, 985?

GCD of 272, 930, 49, 985 is 1

2. Where do I get the detailed procedure to find GCD of 272, 930, 49, 985?

You can find a detailed procedure to find GCD of 272, 930, 49, 985 on our page.

3. How to find GCD of 272, 930, 49, 985 on a calculator?

You can find the GCD of 272, 930, 49, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.