GCD of 782, 376, 351, 215 Calculator

Given Input numbers are 782, 376, 351, 215

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 215

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

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 782, 376, 351, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 376, 351, 215 is 1.

Therefore, GCD of numbers 782, 376, 351, 215 is 1

Given Input Data is 782, 376, 351, 215

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 215 is 5 x 43

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(782, 376) = 147016

GCD(782, 376) = ( 782 x 376 ) / 147016

GCD(782, 376) = 294032 / 147016

GCD(782, 376) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 351

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

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

GCD(2, 351) = 702 / 702

GCD(2, 351) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 782, 376, 351, 215 is 1

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1. What is the GCD of 782, 376, 351, 215?

GCD of 782, 376, 351, 215 is 1

2. Where do I get the detailed procedure to find GCD of 782, 376, 351, 215?

You can find a detailed procedure to find GCD of 782, 376, 351, 215 on our page.

3. How to find GCD of 782, 376, 351, 215 on a calculator?

You can find the GCD of 782, 376, 351, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.