GCD of 87, 973, 659, 310 Calculator

Given Input numbers are 87, 973, 659, 310

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 310

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

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

Greatest Common Divisior

We found the divisors of 87, 973, 659, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 973, 659, 310 is 1.

Therefore, GCD of numbers 87, 973, 659, 310 is 1

Given Input Data is 87, 973, 659, 310

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 973 is 7 x 139

Prime Factorization of 659 is 659

Prime Factorization of 310 is 2 x 5 x 31

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(87, 973) = 84651

GCD(87, 973) = ( 87 x 973 ) / 84651

GCD(87, 973) = 84651 / 84651

GCD(87, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 87, 973, 659, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 264, 527, 182
• GCD of 63, 254, 145, 888
• GCD of 68, 342, 275, 217
• GCD of 84, 222, 128, 647
• GCD of 11, 871, 995, 431

1. What is the GCD of 87, 973, 659, 310?

GCD of 87, 973, 659, 310 is 1

2. Where do I get the detailed procedure to find GCD of 87, 973, 659, 310?

You can find a detailed procedure to find GCD of 87, 973, 659, 310 on our page.

3. How to find GCD of 87, 973, 659, 310 on a calculator?

You can find the GCD of 87, 973, 659, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.