GCD of 87, 357, 340, 899 Calculator

Given Input numbers are 87, 357, 340, 899

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 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 87, 357, 340, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 357, 340, 899 is 1.

Therefore, GCD of numbers 87, 357, 340, 899 is 1

Given Input Data is 87, 357, 340, 899

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 899 is 29 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, 357) = 10353

GCD(87, 357) = ( 87 x 357 ) / 10353

GCD(87, 357) = 31059 / 10353

GCD(87, 357) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 340

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

LCM(3, 340) = 1020

GCD(3, 340) = ( 3 x 340 ) / 1020

GCD(3, 340) = 1020 / 1020

GCD(3, 340) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 87, 357, 340, 899 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 961, 695, 879
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• GCD of 93, 240, 859, 680

1. What is the GCD of 87, 357, 340, 899?

GCD of 87, 357, 340, 899 is 1

2. Where do I get the detailed procedure to find GCD of 87, 357, 340, 899?

You can find a detailed procedure to find GCD of 87, 357, 340, 899 on our page.

3. How to find GCD of 87, 357, 340, 899 on a calculator?

You can find the GCD of 87, 357, 340, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.