GCD of 746, 657, 24, 214 Calculator

Given Input numbers are 746, 657, 24, 214

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

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

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 746, 657, 24, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 657, 24, 214 is 1.

Therefore, GCD of numbers 746, 657, 24, 214 is 1

Given Input Data is 746, 657, 24, 214

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 214 is 2 x 107

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(746, 657) = 490122

GCD(746, 657) = ( 746 x 657 ) / 490122

GCD(746, 657) = 490122 / 490122

GCD(746, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 746, 657, 24, 214 is 1

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• GCD of 676, 597, 13, 411
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1. What is the GCD of 746, 657, 24, 214?

GCD of 746, 657, 24, 214 is 1

2. Where do I get the detailed procedure to find GCD of 746, 657, 24, 214?

You can find a detailed procedure to find GCD of 746, 657, 24, 214 on our page.

3. How to find GCD of 746, 657, 24, 214 on a calculator?

You can find the GCD of 746, 657, 24, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.