GCD of 970, 824, 59, 578 Calculator

Given Input numbers are 970, 824, 59, 578

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 970, 824, 59, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 824, 59, 578 is 1.

Therefore, GCD of numbers 970, 824, 59, 578 is 1

Given Input Data is 970, 824, 59, 578

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 824 is 2 x 2 x 2 x 103

Prime Factorization of 59 is 59

Prime Factorization of 578 is 2 x 17 x 17

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, 824) = 399640

GCD(970, 824) = ( 970 x 824 ) / 399640

GCD(970, 824) = 799280 / 399640

GCD(970, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 970, 824, 59, 578 is 1

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1. What is the GCD of 970, 824, 59, 578?

GCD of 970, 824, 59, 578 is 1

2. Where do I get the detailed procedure to find GCD of 970, 824, 59, 578?

You can find a detailed procedure to find GCD of 970, 824, 59, 578 on our page.

3. How to find GCD of 970, 824, 59, 578 on a calculator?

You can find the GCD of 970, 824, 59, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.