GCD of 674, 474, 40, 450 Calculator

Given Input numbers are 674, 474, 40, 450

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 674, 474, 40, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 474, 40, 450 is 2.

Therefore, GCD of numbers 674, 474, 40, 450 is 2

Given Input Data is 674, 474, 40, 450

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 40 is 2 x 2 x 2 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(674, 474) = 159738

GCD(674, 474) = ( 674 x 474 ) / 159738

GCD(674, 474) = 319476 / 159738

GCD(674, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 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 674, 474, 40, 450 is 2

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• GCD of 602, 359, 72, 709
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1. What is the GCD of 674, 474, 40, 450?

GCD of 674, 474, 40, 450 is 2

2. Where do I get the detailed procedure to find GCD of 674, 474, 40, 450?

You can find a detailed procedure to find GCD of 674, 474, 40, 450 on our page.

3. How to find GCD of 674, 474, 40, 450 on a calculator?

You can find the GCD of 674, 474, 40, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.