GCD of 983, 546, 78, 387 Calculator

Given Input numbers are 983, 546, 78, 387

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

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 983, 546, 78, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 546, 78, 387 is 1.

Therefore, GCD of numbers 983, 546, 78, 387 is 1

Given Input Data is 983, 546, 78, 387

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

Prime Factorization of 983 is 983

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 387 is 3 x 3 x 43

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(983, 546) = 536718

GCD(983, 546) = ( 983 x 546 ) / 536718

GCD(983, 546) = 536718 / 536718

GCD(983, 546) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 983, 546, 78, 387 is 1

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1. What is the GCD of 983, 546, 78, 387?

GCD of 983, 546, 78, 387 is 1

2. Where do I get the detailed procedure to find GCD of 983, 546, 78, 387?

You can find a detailed procedure to find GCD of 983, 546, 78, 387 on our page.

3. How to find GCD of 983, 546, 78, 387 on a calculator?

You can find the GCD of 983, 546, 78, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.