GCD of 734, 902, 450 Calculator

Given Input numbers are 734, 902, 450

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

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 734, 902, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 902, 450 is 2.

Therefore, GCD of numbers 734, 902, 450 is 2

Given Input Data is 734, 902, 450

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 902 is 2 x 11 x 41

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(734, 902) = 331034

GCD(734, 902) = ( 734 x 902 ) / 331034

GCD(734, 902) = 662068 / 331034

GCD(734, 902) = 2

Step2:

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 734, 902, 450 is 2

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1. What is the GCD of 734, 902, 450?

GCD of 734, 902, 450 is 2

2. Where do I get the detailed procedure to find GCD of 734, 902, 450?

You can find a detailed procedure to find GCD of 734, 902, 450 on our page.

3. How to find GCD of 734, 902, 450 on a calculator?

You can find the GCD of 734, 902, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.