GCD of 970, 758, 580, 344 Calculator

Given Input numbers are 970, 758, 580, 344

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 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 970, 758, 580, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 758, 580, 344 is 2.

Therefore, GCD of numbers 970, 758, 580, 344 is 2

Given Input Data is 970, 758, 580, 344

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 758 is 2 x 379

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 344 is 2 x 2 x 2 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 758) = 367630

GCD(970, 758) = ( 970 x 758 ) / 367630

GCD(970, 758) = 735260 / 367630

GCD(970, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 580

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

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

GCD(2, 580) = 1160 / 580

GCD(2, 580) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 344

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

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

GCD(2, 344) = 688 / 344

GCD(2, 344) = 2

GCD of 970, 758, 580, 344 is 2

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1. What is the GCD of 970, 758, 580, 344?

GCD of 970, 758, 580, 344 is 2

2. Where do I get the detailed procedure to find GCD of 970, 758, 580, 344?

You can find a detailed procedure to find GCD of 970, 758, 580, 344 on our page.

3. How to find GCD of 970, 758, 580, 344 on a calculator?

You can find the GCD of 970, 758, 580, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.