GCD of 73, 649, 840, 450 Calculator

Given Input numbers are 73, 649, 840, 450

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

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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 73, 649, 840, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 649, 840, 450 is 1.

Therefore, GCD of numbers 73, 649, 840, 450 is 1

Given Input Data is 73, 649, 840, 450

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

Prime Factorization of 73 is 73

Prime Factorization of 649 is 11 x 59

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(73, 649) = 47377

GCD(73, 649) = ( 73 x 649 ) / 47377

GCD(73, 649) = 47377 / 47377

GCD(73, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 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 73, 649, 840, 450 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 402, 211, 258
• GCD of 77, 594, 356, 772
• GCD of 42, 774, 721, 283
• GCD of 49, 137, 608, 362
• GCD of 79, 495, 461, 865

1. What is the GCD of 73, 649, 840, 450?

GCD of 73, 649, 840, 450 is 1

2. Where do I get the detailed procedure to find GCD of 73, 649, 840, 450?

You can find a detailed procedure to find GCD of 73, 649, 840, 450 on our page.

3. How to find GCD of 73, 649, 840, 450 on a calculator?

You can find the GCD of 73, 649, 840, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.