GCD of 450, 906, 98, 655 Calculator

Given Input numbers are 450, 906, 98, 655

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

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 450, 906, 98, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 906, 98, 655 is 1.

Therefore, GCD of numbers 450, 906, 98, 655 is 1

Given Input Data is 450, 906, 98, 655

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 655 is 5 x 131

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(450, 906) = 67950

GCD(450, 906) = ( 450 x 906 ) / 67950

GCD(450, 906) = 407700 / 67950

GCD(450, 906) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 98

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

LCM(6, 98) = 294

GCD(6, 98) = ( 6 x 98 ) / 294

GCD(6, 98) = 588 / 294

GCD(6, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 655

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

LCM(2, 655) = 1310

GCD(2, 655) = ( 2 x 655 ) / 1310

GCD(2, 655) = 1310 / 1310

GCD(2, 655) = 1

GCD of 450, 906, 98, 655 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 802, 723, 92, 780
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• GCD of 132, 991, 10, 743
• GCD of 666, 987, 24, 612

1. What is the GCD of 450, 906, 98, 655?

GCD of 450, 906, 98, 655 is 1

2. Where do I get the detailed procedure to find GCD of 450, 906, 98, 655?

You can find a detailed procedure to find GCD of 450, 906, 98, 655 on our page.

3. How to find GCD of 450, 906, 98, 655 on a calculator?

You can find the GCD of 450, 906, 98, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.