GCD of 722, 685, 854, 114 Calculator

Given Input numbers are 722, 685, 854, 114

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 854

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

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 722, 685, 854, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 685, 854, 114 is 1.

Therefore, GCD of numbers 722, 685, 854, 114 is 1

Given Input Data is 722, 685, 854, 114

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 685 is 5 x 137

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 114 is 2 x 3 x 19

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(722, 685) = 494570

GCD(722, 685) = ( 722 x 685 ) / 494570

GCD(722, 685) = 494570 / 494570

GCD(722, 685) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 722, 685, 854, 114 is 1

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1. What is the GCD of 722, 685, 854, 114?

GCD of 722, 685, 854, 114 is 1

2. Where do I get the detailed procedure to find GCD of 722, 685, 854, 114?

You can find a detailed procedure to find GCD of 722, 685, 854, 114 on our page.

3. How to find GCD of 722, 685, 854, 114 on a calculator?

You can find the GCD of 722, 685, 854, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.