GCD of 270, 870, 119, 690 Calculator

Given Input numbers are 270, 870, 119, 690

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 270, 870, 119, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 870, 119, 690 is 1.

Therefore, GCD of numbers 270, 870, 119, 690 is 1

Given Input Data is 270, 870, 119, 690

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 870 is 2 x 3 x 5 x 29

Prime Factorization of 119 is 7 x 17

Prime Factorization of 690 is 2 x 3 x 5 x 23

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, 870) = 7830

GCD(270, 870) = ( 270 x 870 ) / 7830

GCD(270, 870) = 234900 / 7830

GCD(270, 870) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 119

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

LCM(30, 119) = 3570

GCD(30, 119) = ( 30 x 119 ) / 3570

GCD(30, 119) = 3570 / 3570

GCD(30, 119) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 270, 870, 119, 690 is 1

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1. What is the GCD of 270, 870, 119, 690?

GCD of 270, 870, 119, 690 is 1

2. Where do I get the detailed procedure to find GCD of 270, 870, 119, 690?

You can find a detailed procedure to find GCD of 270, 870, 119, 690 on our page.

3. How to find GCD of 270, 870, 119, 690 on a calculator?

You can find the GCD of 270, 870, 119, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.