GCD of 214, 550, 741, 938 Calculator

Given Input numbers are 214, 550, 741, 938

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

Divisors of 214

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

1, 2, 107, 214

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 214, 550, 741, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 550, 741, 938 is 1.

Therefore, GCD of numbers 214, 550, 741, 938 is 1

Given Input Data is 214, 550, 741, 938

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 938 is 2 x 7 x 67

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(214, 550) = 58850

GCD(214, 550) = ( 214 x 550 ) / 58850

GCD(214, 550) = 117700 / 58850

GCD(214, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 741

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

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

GCD(2, 741) = 1482 / 1482

GCD(2, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 214, 550, 741, 938 is 1

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1. What is the GCD of 214, 550, 741, 938?

GCD of 214, 550, 741, 938 is 1

2. Where do I get the detailed procedure to find GCD of 214, 550, 741, 938?

You can find a detailed procedure to find GCD of 214, 550, 741, 938 on our page.

3. How to find GCD of 214, 550, 741, 938 on a calculator?

You can find the GCD of 214, 550, 741, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.