GCD of 390, 176, 87, 450 Calculator

Given Input numbers are 390, 176, 87, 450

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 87

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

1, 3, 29, 87

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 390, 176, 87, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 176, 87, 450 is 1.

Therefore, GCD of numbers 390, 176, 87, 450 is 1

Given Input Data is 390, 176, 87, 450

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 87 is 3 x 29

Prime Factorization of 450 is 2 x 3 x 3 x 5 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(390, 176) = 34320

GCD(390, 176) = ( 390 x 176 ) / 34320

GCD(390, 176) = 68640 / 34320

GCD(390, 176) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 390, 176, 87, 450 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 862, 959, 26, 794
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• GCD of 206, 198, 31, 704
• GCD of 454, 107, 38, 196
• GCD of 190, 715, 84, 401

1. What is the GCD of 390, 176, 87, 450?

GCD of 390, 176, 87, 450 is 1

2. Where do I get the detailed procedure to find GCD of 390, 176, 87, 450?

You can find a detailed procedure to find GCD of 390, 176, 87, 450 on our page.

3. How to find GCD of 390, 176, 87, 450 on a calculator?

You can find the GCD of 390, 176, 87, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.