GCD of 974, 214, 740, 217 Calculator

Given Input numbers are 974, 214, 740, 217

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 214

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

1, 2, 107, 214

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 974, 214, 740, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 214, 740, 217 is 1.

Therefore, GCD of numbers 974, 214, 740, 217 is 1

Given Input Data is 974, 214, 740, 217

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 214 is 2 x 107

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 217 is 7 x 31

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(974, 214) = 104218

GCD(974, 214) = ( 974 x 214 ) / 104218

GCD(974, 214) = 208436 / 104218

GCD(974, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 740

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

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

GCD(2, 740) = 1480 / 740

GCD(2, 740) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 217

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

LCM(2, 217) = 434

GCD(2, 217) = ( 2 x 217 ) / 434

GCD(2, 217) = 434 / 434

GCD(2, 217) = 1

GCD of 974, 214, 740, 217 is 1

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1. What is the GCD of 974, 214, 740, 217?

GCD of 974, 214, 740, 217 is 1

2. Where do I get the detailed procedure to find GCD of 974, 214, 740, 217?

You can find a detailed procedure to find GCD of 974, 214, 740, 217 on our page.

3. How to find GCD of 974, 214, 740, 217 on a calculator?

You can find the GCD of 974, 214, 740, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.