GCD of 87, 257, 300, 695 Calculator

Given Input numbers are 87, 257, 300, 695

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 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 87, 257, 300, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 257, 300, 695 is 1.

Therefore, GCD of numbers 87, 257, 300, 695 is 1

Given Input Data is 87, 257, 300, 695

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 257 is 257

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 695 is 5 x 139

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, 257) = 22359

GCD(87, 257) = ( 87 x 257 ) / 22359

GCD(87, 257) = 22359 / 22359

GCD(87, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 87, 257, 300, 695 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 702, 501, 708
• GCD of 55, 181, 282, 778
• GCD of 21, 203, 300, 810
• GCD of 60, 537, 410, 111
• GCD of 75, 541, 512, 682

1. What is the GCD of 87, 257, 300, 695?

GCD of 87, 257, 300, 695 is 1

2. Where do I get the detailed procedure to find GCD of 87, 257, 300, 695?

You can find a detailed procedure to find GCD of 87, 257, 300, 695 on our page.

3. How to find GCD of 87, 257, 300, 695 on a calculator?

You can find the GCD of 87, 257, 300, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.