GCD of 215, 690, 310, 781 Calculator

Given Input numbers are 215, 690, 310, 781

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 215, 690, 310, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 690, 310, 781 is 1.

Therefore, GCD of numbers 215, 690, 310, 781 is 1

Given Input Data is 215, 690, 310, 781

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

Prime Factorization of 215 is 5 x 43

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 781 is 11 x 71

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(215, 690) = 29670

GCD(215, 690) = ( 215 x 690 ) / 29670

GCD(215, 690) = 148350 / 29670

GCD(215, 690) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 310

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

LCM(5, 310) = 310

GCD(5, 310) = ( 5 x 310 ) / 310

GCD(5, 310) = 1550 / 310

GCD(5, 310) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 781

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

LCM(5, 781) = 3905

GCD(5, 781) = ( 5 x 781 ) / 3905

GCD(5, 781) = 3905 / 3905

GCD(5, 781) = 1

GCD of 215, 690, 310, 781 is 1

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1. What is the GCD of 215, 690, 310, 781?

GCD of 215, 690, 310, 781 is 1

2. Where do I get the detailed procedure to find GCD of 215, 690, 310, 781?

You can find a detailed procedure to find GCD of 215, 690, 310, 781 on our page.

3. How to find GCD of 215, 690, 310, 781 on a calculator?

You can find the GCD of 215, 690, 310, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.