GCD of 978, 716, 584, 953 Calculator

Given Input numbers are 978, 716, 584, 953

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 978, 716, 584, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 716, 584, 953 is 1.

Therefore, GCD of numbers 978, 716, 584, 953 is 1

Given Input Data is 978, 716, 584, 953

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 953 is 953

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(978, 716) = 350124

GCD(978, 716) = ( 978 x 716 ) / 350124

GCD(978, 716) = 700248 / 350124

GCD(978, 716) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 953

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

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

GCD(2, 953) = 1906 / 1906

GCD(2, 953) = 1

GCD of 978, 716, 584, 953 is 1

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1. What is the GCD of 978, 716, 584, 953?

GCD of 978, 716, 584, 953 is 1

2. Where do I get the detailed procedure to find GCD of 978, 716, 584, 953?

You can find a detailed procedure to find GCD of 978, 716, 584, 953 on our page.

3. How to find GCD of 978, 716, 584, 953 on a calculator?

You can find the GCD of 978, 716, 584, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.