GCD of 976, 199, 46, 782 Calculator

Given Input numbers are 976, 199, 46, 782

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 782

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

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

Greatest Common Divisior

We found the divisors of 976, 199, 46, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 199, 46, 782 is 1.

Therefore, GCD of numbers 976, 199, 46, 782 is 1

Given Input Data is 976, 199, 46, 782

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 199 is 199

Prime Factorization of 46 is 2 x 23

Prime Factorization of 782 is 2 x 17 x 23

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(976, 199) = 194224

GCD(976, 199) = ( 976 x 199 ) / 194224

GCD(976, 199) = 194224 / 194224

GCD(976, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 976, 199, 46, 782 is 1

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1. What is the GCD of 976, 199, 46, 782?

GCD of 976, 199, 46, 782 is 1

2. Where do I get the detailed procedure to find GCD of 976, 199, 46, 782?

You can find a detailed procedure to find GCD of 976, 199, 46, 782 on our page.

3. How to find GCD of 976, 199, 46, 782 on a calculator?

You can find the GCD of 976, 199, 46, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.