GCD of 426, 861, 714, 148 Calculator

Given Input numbers are 426, 861, 714, 148

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 861

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

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 426, 861, 714, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 861, 714, 148 is 1.

Therefore, GCD of numbers 426, 861, 714, 148 is 1

Given Input Data is 426, 861, 714, 148

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 861 is 3 x 7 x 41

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 148 is 2 x 2 x 37

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, 861) = 122262

GCD(426, 861) = ( 426 x 861 ) / 122262

GCD(426, 861) = 366786 / 122262

GCD(426, 861) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 714

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

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

GCD(3, 714) = 2142 / 714

GCD(3, 714) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 148

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

LCM(3, 148) = 444

GCD(3, 148) = ( 3 x 148 ) / 444

GCD(3, 148) = 444 / 444

GCD(3, 148) = 1

GCD of 426, 861, 714, 148 is 1

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1. What is the GCD of 426, 861, 714, 148?

GCD of 426, 861, 714, 148 is 1

2. Where do I get the detailed procedure to find GCD of 426, 861, 714, 148?

You can find a detailed procedure to find GCD of 426, 861, 714, 148 on our page.

3. How to find GCD of 426, 861, 714, 148 on a calculator?

You can find the GCD of 426, 861, 714, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.