GCD of 970, 754, 214, 229 Calculator

Given Input numbers are 970, 754, 214, 229

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 214

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

1, 2, 107, 214

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 970, 754, 214, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 754, 214, 229 is 1.

Therefore, GCD of numbers 970, 754, 214, 229 is 1

Given Input Data is 970, 754, 214, 229

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 214 is 2 x 107

Prime Factorization of 229 is 229

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(970, 754) = 365690

GCD(970, 754) = ( 970 x 754 ) / 365690

GCD(970, 754) = 731380 / 365690

GCD(970, 754) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 229

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

LCM(2, 229) = 458

GCD(2, 229) = ( 2 x 229 ) / 458

GCD(2, 229) = 458 / 458

GCD(2, 229) = 1

GCD of 970, 754, 214, 229 is 1

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1. What is the GCD of 970, 754, 214, 229?

GCD of 970, 754, 214, 229 is 1

2. Where do I get the detailed procedure to find GCD of 970, 754, 214, 229?

You can find a detailed procedure to find GCD of 970, 754, 214, 229 on our page.

3. How to find GCD of 970, 754, 214, 229 on a calculator?

You can find the GCD of 970, 754, 214, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.