GCD of 71, 789, 672, 782 Calculator

Given Input numbers are 71, 789, 672, 782

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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 71, 789, 672, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 789, 672, 782 is 1.

Therefore, GCD of numbers 71, 789, 672, 782 is 1

Given Input Data is 71, 789, 672, 782

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

Prime Factorization of 71 is 71

Prime Factorization of 789 is 3 x 263

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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(71, 789) = 56019

GCD(71, 789) = ( 71 x 789 ) / 56019

GCD(71, 789) = 56019 / 56019

GCD(71, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 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 71, 789, 672, 782 is 1

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1. What is the GCD of 71, 789, 672, 782?

GCD of 71, 789, 672, 782 is 1

2. Where do I get the detailed procedure to find GCD of 71, 789, 672, 782?

You can find a detailed procedure to find GCD of 71, 789, 672, 782 on our page.

3. How to find GCD of 71, 789, 672, 782 on a calculator?

You can find the GCD of 71, 789, 672, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.