GCD of 665, 784, 678, 854 Calculator

Given Input numbers are 665, 784, 678, 854

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

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 665, 784, 678, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 665, 784, 678, 854 is 1.

Therefore, GCD of numbers 665, 784, 678, 854 is 1

Given Input Data is 665, 784, 678, 854

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

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 854 is 2 x 7 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(665, 784) = 74480

GCD(665, 784) = ( 665 x 784 ) / 74480

GCD(665, 784) = 521360 / 74480

GCD(665, 784) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 678

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

LCM(7, 678) = 4746

GCD(7, 678) = ( 7 x 678 ) / 4746

GCD(7, 678) = 4746 / 4746

GCD(7, 678) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 665, 784, 678, 854 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 318, 580, 275
• GCD of 658, 449, 241, 312
• GCD of 211, 721, 849, 157
• GCD of 358, 836, 262, 654
• GCD of 970, 654, 682, 908

1. What is the GCD of 665, 784, 678, 854?

GCD of 665, 784, 678, 854 is 1

2. Where do I get the detailed procedure to find GCD of 665, 784, 678, 854?

You can find a detailed procedure to find GCD of 665, 784, 678, 854 on our page.

3. How to find GCD of 665, 784, 678, 854 on a calculator?

You can find the GCD of 665, 784, 678, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.