GCD of 270, 610, 69, 981 Calculator

Given Input numbers are 270, 610, 69, 981

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 270, 610, 69, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 610, 69, 981 is 1.

Therefore, GCD of numbers 270, 610, 69, 981 is 1

Given Input Data is 270, 610, 69, 981

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 69 is 3 x 23

Prime Factorization of 981 is 3 x 3 x 109

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(270, 610) = 16470

GCD(270, 610) = ( 270 x 610 ) / 16470

GCD(270, 610) = 164700 / 16470

GCD(270, 610) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 69

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

LCM(10, 69) = 690

GCD(10, 69) = ( 10 x 69 ) / 690

GCD(10, 69) = 690 / 690

GCD(10, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 270, 610, 69, 981 is 1

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1. What is the GCD of 270, 610, 69, 981?

GCD of 270, 610, 69, 981 is 1

2. Where do I get the detailed procedure to find GCD of 270, 610, 69, 981?

You can find a detailed procedure to find GCD of 270, 610, 69, 981 on our page.

3. How to find GCD of 270, 610, 69, 981 on a calculator?

You can find the GCD of 270, 610, 69, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.