GCD of 215, 851, 72, 343 Calculator

Given Input numbers are 215, 851, 72, 343

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

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 215, 851, 72, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 851, 72, 343 is 1.

Therefore, GCD of numbers 215, 851, 72, 343 is 1

Given Input Data is 215, 851, 72, 343

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

Prime Factorization of 215 is 5 x 43

Prime Factorization of 851 is 23 x 37

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(215, 851) = 182965

GCD(215, 851) = ( 215 x 851 ) / 182965

GCD(215, 851) = 182965 / 182965

GCD(215, 851) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 215, 851, 72, 343 is 1

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1. What is the GCD of 215, 851, 72, 343?

GCD of 215, 851, 72, 343 is 1

2. Where do I get the detailed procedure to find GCD of 215, 851, 72, 343?

You can find a detailed procedure to find GCD of 215, 851, 72, 343 on our page.

3. How to find GCD of 215, 851, 72, 343 on a calculator?

You can find the GCD of 215, 851, 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.