GCD of 678, 457, 840, 791 Calculator

Given Input numbers are 678, 457, 840, 791

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 678, 457, 840, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 457, 840, 791 is 1.

Therefore, GCD of numbers 678, 457, 840, 791 is 1

Given Input Data is 678, 457, 840, 791

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 457 is 457

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 791 is 7 x 113

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(678, 457) = 309846

GCD(678, 457) = ( 678 x 457 ) / 309846

GCD(678, 457) = 309846 / 309846

GCD(678, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 678, 457, 840, 791 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 101, 101, 814
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• GCD of 840, 590, 878, 163
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• GCD of 435, 676, 623, 131

1. What is the GCD of 678, 457, 840, 791?

GCD of 678, 457, 840, 791 is 1

2. Where do I get the detailed procedure to find GCD of 678, 457, 840, 791?

You can find a detailed procedure to find GCD of 678, 457, 840, 791 on our page.

3. How to find GCD of 678, 457, 840, 791 on a calculator?

You can find the GCD of 678, 457, 840, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.