GCD of 426, 747, 71, 861 Calculator

Given Input numbers are 426, 747, 71, 861

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

Divisors of 426

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

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 426, 747, 71, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 747, 71, 861 is 1.

Therefore, GCD of numbers 426, 747, 71, 861 is 1

Given Input Data is 426, 747, 71, 861

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 71 is 71

Prime Factorization of 861 is 3 x 7 x 41

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(426, 747) = 106074

GCD(426, 747) = ( 426 x 747 ) / 106074

GCD(426, 747) = 318222 / 106074

GCD(426, 747) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

GCD of 426, 747, 71, 861 is 1

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1. What is the GCD of 426, 747, 71, 861?

GCD of 426, 747, 71, 861 is 1

2. Where do I get the detailed procedure to find GCD of 426, 747, 71, 861?

You can find a detailed procedure to find GCD of 426, 747, 71, 861 on our page.

3. How to find GCD of 426, 747, 71, 861 on a calculator?

You can find the GCD of 426, 747, 71, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.