GCD of 367, 196, 703, 782 Calculator

Given Input numbers are 367, 196, 703, 782

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

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

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 367, 196, 703, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 196, 703, 782 is 1.

Therefore, GCD of numbers 367, 196, 703, 782 is 1

Given Input Data is 367, 196, 703, 782

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

Prime Factorization of 367 is 367

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 703 is 19 x 37

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(367, 196) = 71932

GCD(367, 196) = ( 367 x 196 ) / 71932

GCD(367, 196) = 71932 / 71932

GCD(367, 196) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 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 367, 196, 703, 782 is 1

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1. What is the GCD of 367, 196, 703, 782?

GCD of 367, 196, 703, 782 is 1

2. Where do I get the detailed procedure to find GCD of 367, 196, 703, 782?

You can find a detailed procedure to find GCD of 367, 196, 703, 782 on our page.

3. How to find GCD of 367, 196, 703, 782 on a calculator?

You can find the GCD of 367, 196, 703, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.