GCD of 87, 258, 350, 882 Calculator

Given Input numbers are 87, 258, 350, 882

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 87, 258, 350, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 258, 350, 882 is 1.

Therefore, GCD of numbers 87, 258, 350, 882 is 1

Given Input Data is 87, 258, 350, 882

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

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, 258) = 7482

GCD(87, 258) = ( 87 x 258 ) / 7482

GCD(87, 258) = 22446 / 7482

GCD(87, 258) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 350

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

LCM(3, 350) = 1050

GCD(3, 350) = ( 3 x 350 ) / 1050

GCD(3, 350) = 1050 / 1050

GCD(3, 350) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

GCD of 87, 258, 350, 882 is 1

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• GCD of 35, 777, 454, 777
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1. What is the GCD of 87, 258, 350, 882?

GCD of 87, 258, 350, 882 is 1

2. Where do I get the detailed procedure to find GCD of 87, 258, 350, 882?

You can find a detailed procedure to find GCD of 87, 258, 350, 882 on our page.

3. How to find GCD of 87, 258, 350, 882 on a calculator?

You can find the GCD of 87, 258, 350, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.