GCD of 854, 742, 30, 722 Calculator

Given Input numbers are 854, 742, 30, 722

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

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 722

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

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 854, 742, 30, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 742, 30, 722 is 2.

Therefore, GCD of numbers 854, 742, 30, 722 is 2

Given Input Data is 854, 742, 30, 722

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 722 is 2 x 19 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(854, 742) = 45262

GCD(854, 742) = ( 854 x 742 ) / 45262

GCD(854, 742) = 633668 / 45262

GCD(854, 742) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 30

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

LCM(14, 30) = 210

GCD(14, 30) = ( 14 x 30 ) / 210

GCD(14, 30) = 420 / 210

GCD(14, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 722

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

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

GCD(2, 722) = 1444 / 722

GCD(2, 722) = 2

GCD of 854, 742, 30, 722 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 641, 31, 545
• GCD of 392, 883, 21, 477
• GCD of 351, 752, 85, 752
• GCD of 161, 992, 32, 366
• GCD of 777, 469, 26, 517

1. What is the GCD of 854, 742, 30, 722?

GCD of 854, 742, 30, 722 is 2

2. Where do I get the detailed procedure to find GCD of 854, 742, 30, 722?

You can find a detailed procedure to find GCD of 854, 742, 30, 722 on our page.

3. How to find GCD of 854, 742, 30, 722 on a calculator?

You can find the GCD of 854, 742, 30, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.