GCD of 450, 114, 72, 343 Calculator

Given Input numbers are 450, 114, 72, 343

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

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 450, 114, 72, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 114, 72, 343 is 1.

Therefore, GCD of numbers 450, 114, 72, 343 is 1

Given Input Data is 450, 114, 72, 343

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

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 343 is 7 x 7 x 7

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(450, 114) = 8550

GCD(450, 114) = ( 450 x 114 ) / 8550

GCD(450, 114) = 51300 / 8550

GCD(450, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 72

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

LCM(6, 72) = 72

GCD(6, 72) = ( 6 x 72 ) / 72

GCD(6, 72) = 432 / 72

GCD(6, 72) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 343

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

LCM(6, 343) = 2058

GCD(6, 343) = ( 6 x 343 ) / 2058

GCD(6, 343) = 2058 / 2058

GCD(6, 343) = 1

GCD of 450, 114, 72, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 878, 12, 812
• GCD of 475, 247, 75, 317
• GCD of 931, 163, 48, 304
• GCD of 964, 751, 67, 116
• GCD of 521, 193, 34, 736

1. What is the GCD of 450, 114, 72, 343?

GCD of 450, 114, 72, 343 is 1

2. Where do I get the detailed procedure to find GCD of 450, 114, 72, 343?

You can find a detailed procedure to find GCD of 450, 114, 72, 343 on our page.

3. How to find GCD of 450, 114, 72, 343 on a calculator?

You can find the GCD of 450, 114, 72, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.