GCD of 814, 946, 696, 426 Calculator

Given Input numbers are 814, 946, 696, 426

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 814, 946, 696, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 946, 696, 426 is 2.

Therefore, GCD of numbers 814, 946, 696, 426 is 2

Given Input Data is 814, 946, 696, 426

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 426 is 2 x 3 x 71

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(814, 946) = 35002

GCD(814, 946) = ( 814 x 946 ) / 35002

GCD(814, 946) = 770044 / 35002

GCD(814, 946) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 696

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

LCM(22, 696) = 7656

GCD(22, 696) = ( 22 x 696 ) / 7656

GCD(22, 696) = 15312 / 7656

GCD(22, 696) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 426

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

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

GCD(2, 426) = 852 / 426

GCD(2, 426) = 2

GCD of 814, 946, 696, 426 is 2

Here are some samples of GCD of Numbers calculations.

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• GCD of 999, 625, 481, 384

1. What is the GCD of 814, 946, 696, 426?

GCD of 814, 946, 696, 426 is 2

2. Where do I get the detailed procedure to find GCD of 814, 946, 696, 426?

You can find a detailed procedure to find GCD of 814, 946, 696, 426 on our page.

3. How to find GCD of 814, 946, 696, 426 on a calculator?

You can find the GCD of 814, 946, 696, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.