GCD of 978, 915, 52, 682 Calculator

Given Input numbers are 978, 915, 52, 682

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 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 978, 915, 52, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 915, 52, 682 is 1.

Therefore, GCD of numbers 978, 915, 52, 682 is 1

Given Input Data is 978, 915, 52, 682

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 915 is 3 x 5 x 61

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 682 is 2 x 11 x 31

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, 915) = 298290

GCD(978, 915) = ( 978 x 915 ) / 298290

GCD(978, 915) = 894870 / 298290

GCD(978, 915) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 52

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

LCM(3, 52) = 156

GCD(3, 52) = ( 3 x 52 ) / 156

GCD(3, 52) = 156 / 156

GCD(3, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 978, 915, 52, 682 is 1

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1. What is the GCD of 978, 915, 52, 682?

GCD of 978, 915, 52, 682 is 1

2. Where do I get the detailed procedure to find GCD of 978, 915, 52, 682?

You can find a detailed procedure to find GCD of 978, 915, 52, 682 on our page.

3. How to find GCD of 978, 915, 52, 682 on a calculator?

You can find the GCD of 978, 915, 52, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.