GCD of 261, 615, 34, 450 Calculator

Given Input numbers are 261, 615, 34, 450

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 261, 615, 34, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 615, 34, 450 is 1.

Therefore, GCD of numbers 261, 615, 34, 450 is 1

Given Input Data is 261, 615, 34, 450

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 34 is 2 x 17

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(261, 615) = 53505

GCD(261, 615) = ( 261 x 615 ) / 53505

GCD(261, 615) = 160515 / 53505

GCD(261, 615) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 34

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

LCM(3, 34) = 102

GCD(3, 34) = ( 3 x 34 ) / 102

GCD(3, 34) = 102 / 102

GCD(3, 34) = 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 261, 615, 34, 450 is 1

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1. What is the GCD of 261, 615, 34, 450?

GCD of 261, 615, 34, 450 is 1

2. Where do I get the detailed procedure to find GCD of 261, 615, 34, 450?

You can find a detailed procedure to find GCD of 261, 615, 34, 450 on our page.

3. How to find GCD of 261, 615, 34, 450 on a calculator?

You can find the GCD of 261, 615, 34, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.