GCD of 687, 971, 956, 270 Calculator

Given Input numbers are 687, 971, 956, 270

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

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

Greatest Common Divisior

We found the divisors of 687, 971, 956, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 971, 956, 270 is 1.

Therefore, GCD of numbers 687, 971, 956, 270 is 1

Given Input Data is 687, 971, 956, 270

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 971 is 971

Prime Factorization of 956 is 2 x 2 x 239

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

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(687, 971) = 667077

GCD(687, 971) = ( 687 x 971 ) / 667077

GCD(687, 971) = 667077 / 667077

GCD(687, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 687, 971, 956, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 701, 565, 234
• GCD of 237, 673, 350, 457
• GCD of 971, 273, 224, 787
• GCD of 196, 380, 147, 252
• GCD of 782, 165, 796, 123

1. What is the GCD of 687, 971, 956, 270?

GCD of 687, 971, 956, 270 is 1

2. Where do I get the detailed procedure to find GCD of 687, 971, 956, 270?

You can find a detailed procedure to find GCD of 687, 971, 956, 270 on our page.

3. How to find GCD of 687, 971, 956, 270 on a calculator?

You can find the GCD of 687, 971, 956, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.