GCD of 426, 144, 862, 712 Calculator

Given Input numbers are 426, 144, 862, 712

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 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 426, 144, 862, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 144, 862, 712 is 2.

Therefore, GCD of numbers 426, 144, 862, 712 is 2

Given Input Data is 426, 144, 862, 712

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 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 862 is 2 x 431

Prime Factorization of 712 is 2 x 2 x 2 x 89

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(426, 144) = 10224

GCD(426, 144) = ( 426 x 144 ) / 10224

GCD(426, 144) = 61344 / 10224

GCD(426, 144) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 862

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

LCM(6, 862) = 2586

GCD(6, 862) = ( 6 x 862 ) / 2586

GCD(6, 862) = 5172 / 2586

GCD(6, 862) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 712

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

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

GCD(2, 712) = 1424 / 712

GCD(2, 712) = 2

GCD of 426, 144, 862, 712 is 2

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1. What is the GCD of 426, 144, 862, 712?

GCD of 426, 144, 862, 712 is 2

2. Where do I get the detailed procedure to find GCD of 426, 144, 862, 712?

You can find a detailed procedure to find GCD of 426, 144, 862, 712 on our page.

3. How to find GCD of 426, 144, 862, 712 on a calculator?

You can find the GCD of 426, 144, 862, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.