GCD of 354, 338, 60, 450 Calculator

Given Input numbers are 354, 338, 60, 450

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 354, 338, 60, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 338, 60, 450 is 2.

Therefore, GCD of numbers 354, 338, 60, 450 is 2

Given Input Data is 354, 338, 60, 450

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 60 is 2 x 2 x 3 x 5

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(354, 338) = 59826

GCD(354, 338) = ( 354 x 338 ) / 59826

GCD(354, 338) = 119652 / 59826

GCD(354, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 450

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

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

GCD(2, 450) = 900 / 450

GCD(2, 450) = 2

GCD of 354, 338, 60, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 707, 61, 380
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• GCD of 953, 405, 97, 539

1. What is the GCD of 354, 338, 60, 450?

GCD of 354, 338, 60, 450 is 2

2. Where do I get the detailed procedure to find GCD of 354, 338, 60, 450?

You can find a detailed procedure to find GCD of 354, 338, 60, 450 on our page.

3. How to find GCD of 354, 338, 60, 450 on a calculator?

You can find the GCD of 354, 338, 60, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.