GCD of 272, 518, 278, 770 Calculator

Given Input numbers are 272, 518, 278, 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 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

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, 518, 278, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 518, 278, 770 is 2.

Therefore, GCD of numbers 272, 518, 278, 770 is 2

Given Input Data is 272, 518, 278, 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 518 is 2 x 7 x 37

Prime Factorization of 278 is 2 x 139

Prime Factorization of 770 is 2 x 5 x 7 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 518) = 70448

GCD(272, 518) = ( 272 x 518 ) / 70448

GCD(272, 518) = 140896 / 70448

GCD(272, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 278

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

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

GCD(2, 278) = 556 / 278

GCD(2, 278) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 770

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

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

GCD(2, 770) = 1540 / 770

GCD(2, 770) = 2

GCD of 272, 518, 278, 770 is 2

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1. What is the GCD of 272, 518, 278, 770?

GCD of 272, 518, 278, 770 is 2

2. Where do I get the detailed procedure to find GCD of 272, 518, 278, 770?

You can find a detailed procedure to find GCD of 272, 518, 278, 770 on our page.

3. How to find GCD of 272, 518, 278, 770 on a calculator?

You can find the GCD of 272, 518, 278, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.