GCD of 337, 996, 75, 450 Calculator

Given Input numbers are 337, 996, 75, 450

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

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 337, 996, 75, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 996, 75, 450 is 1.

Therefore, GCD of numbers 337, 996, 75, 450 is 1

Given Input Data is 337, 996, 75, 450

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

Prime Factorization of 337 is 337

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 75 is 3 x 5 x 5

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(337, 996) = 335652

GCD(337, 996) = ( 337 x 996 ) / 335652

GCD(337, 996) = 335652 / 335652

GCD(337, 996) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 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 337, 996, 75, 450 is 1

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• GCD of 402, 607, 95, 332
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1. What is the GCD of 337, 996, 75, 450?

GCD of 337, 996, 75, 450 is 1

2. Where do I get the detailed procedure to find GCD of 337, 996, 75, 450?

You can find a detailed procedure to find GCD of 337, 996, 75, 450 on our page.

3. How to find GCD of 337, 996, 75, 450 on a calculator?

You can find the GCD of 337, 996, 75, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.