GCD of 284, 552, 945, 987 Calculator

Given Input numbers are 284, 552, 945, 987

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 987

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

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

Greatest Common Divisior

We found the divisors of 284, 552, 945, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 552, 945, 987 is 1.

Therefore, GCD of numbers 284, 552, 945, 987 is 1

Given Input Data is 284, 552, 945, 987

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 987 is 3 x 7 x 47

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(284, 552) = 39192

GCD(284, 552) = ( 284 x 552 ) / 39192

GCD(284, 552) = 156768 / 39192

GCD(284, 552) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 945

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

LCM(4, 945) = 3780

GCD(4, 945) = ( 4 x 945 ) / 3780

GCD(4, 945) = 3780 / 3780

GCD(4, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 284, 552, 945, 987 is 1

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1. What is the GCD of 284, 552, 945, 987?

GCD of 284, 552, 945, 987 is 1

2. Where do I get the detailed procedure to find GCD of 284, 552, 945, 987?

You can find a detailed procedure to find GCD of 284, 552, 945, 987 on our page.

3. How to find GCD of 284, 552, 945, 987 on a calculator?

You can find the GCD of 284, 552, 945, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.