GCD of 786, 987, 59, 384 Calculator

Given Input numbers are 786, 987, 59, 384

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 59

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

1, 59

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 786, 987, 59, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 987, 59, 384 is 1.

Therefore, GCD of numbers 786, 987, 59, 384 is 1

Given Input Data is 786, 987, 59, 384

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 59 is 59

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(786, 987) = 258594

GCD(786, 987) = ( 786 x 987 ) / 258594

GCD(786, 987) = 775782 / 258594

GCD(786, 987) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 59

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

LCM(3, 59) = 177

GCD(3, 59) = ( 3 x 59 ) / 177

GCD(3, 59) = 177 / 177

GCD(3, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 786, 987, 59, 384 is 1

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• GCD of 154, 328, 12, 273
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1. What is the GCD of 786, 987, 59, 384?

GCD of 786, 987, 59, 384 is 1

2. Where do I get the detailed procedure to find GCD of 786, 987, 59, 384?

You can find a detailed procedure to find GCD of 786, 987, 59, 384 on our page.

3. How to find GCD of 786, 987, 59, 384 on a calculator?

You can find the GCD of 786, 987, 59, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.