GCD of 426, 650, 48, 214 Calculator

Given Input numbers are 426, 650, 48, 214

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 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 426, 650, 48, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 650, 48, 214 is 2.

Therefore, GCD of numbers 426, 650, 48, 214 is 2

Given Input Data is 426, 650, 48, 214

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 650 is 2 x 5 x 5 x 13

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 214 is 2 x 107

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, 650) = 138450

GCD(426, 650) = ( 426 x 650 ) / 138450

GCD(426, 650) = 276900 / 138450

GCD(426, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 214

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

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

GCD(2, 214) = 428 / 214

GCD(2, 214) = 2

GCD of 426, 650, 48, 214 is 2

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1. What is the GCD of 426, 650, 48, 214?

GCD of 426, 650, 48, 214 is 2

2. Where do I get the detailed procedure to find GCD of 426, 650, 48, 214?

You can find a detailed procedure to find GCD of 426, 650, 48, 214 on our page.

3. How to find GCD of 426, 650, 48, 214 on a calculator?

You can find the GCD of 426, 650, 48, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.