GCD of 364, 782, 91, 976 Calculator

Given Input numbers are 364, 782, 91, 976

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

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

Greatest Common Divisior

We found the divisors of 364, 782, 91, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 782, 91, 976 is 1.

Therefore, GCD of numbers 364, 782, 91, 976 is 1

Given Input Data is 364, 782, 91, 976

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 91 is 7 x 13

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

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(364, 782) = 142324

GCD(364, 782) = ( 364 x 782 ) / 142324

GCD(364, 782) = 284648 / 142324

GCD(364, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

GCD of 364, 782, 91, 976 is 1

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1. What is the GCD of 364, 782, 91, 976?

GCD of 364, 782, 91, 976 is 1

2. Where do I get the detailed procedure to find GCD of 364, 782, 91, 976?

You can find a detailed procedure to find GCD of 364, 782, 91, 976 on our page.

3. How to find GCD of 364, 782, 91, 976 on a calculator?

You can find the GCD of 364, 782, 91, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.