GCD of 970, 275, 37, 588 Calculator

Given Input numbers are 970, 275, 37, 588

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 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 970, 275, 37, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 275, 37, 588 is 1.

Therefore, GCD of numbers 970, 275, 37, 588 is 1

Given Input Data is 970, 275, 37, 588

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 275 is 5 x 5 x 11

Prime Factorization of 37 is 37

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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, 275) = 53350

GCD(970, 275) = ( 970 x 275 ) / 53350

GCD(970, 275) = 266750 / 53350

GCD(970, 275) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 37

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

LCM(5, 37) = 185

GCD(5, 37) = ( 5 x 37 ) / 185

GCD(5, 37) = 185 / 185

GCD(5, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 970, 275, 37, 588 is 1

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1. What is the GCD of 970, 275, 37, 588?

GCD of 970, 275, 37, 588 is 1

2. Where do I get the detailed procedure to find GCD of 970, 275, 37, 588?

You can find a detailed procedure to find GCD of 970, 275, 37, 588 on our page.

3. How to find GCD of 970, 275, 37, 588 on a calculator?

You can find the GCD of 970, 275, 37, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.