GCD of 272, 935, 84, 770 Calculator

Given Input numbers are 272, 935, 84, 770

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 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 272, 935, 84, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 935, 84, 770 is 1.

Therefore, GCD of numbers 272, 935, 84, 770 is 1

Given Input Data is 272, 935, 84, 770

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 935 is 5 x 11 x 17

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 770 is 2 x 5 x 7 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(272, 935) = 14960

GCD(272, 935) = ( 272 x 935 ) / 14960

GCD(272, 935) = 254320 / 14960

GCD(272, 935) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 84

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

LCM(17, 84) = 1428

GCD(17, 84) = ( 17 x 84 ) / 1428

GCD(17, 84) = 1428 / 1428

GCD(17, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 272, 935, 84, 770 is 1

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1. What is the GCD of 272, 935, 84, 770?

GCD of 272, 935, 84, 770 is 1

2. Where do I get the detailed procedure to find GCD of 272, 935, 84, 770?

You can find a detailed procedure to find GCD of 272, 935, 84, 770 on our page.

3. How to find GCD of 272, 935, 84, 770 on a calculator?

You can find the GCD of 272, 935, 84, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.