GCD of 119, 987, 59, 285 Calculator

Given Input numbers are 119, 987, 59, 285

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

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 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 119, 987, 59, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 987, 59, 285 is 1.

Therefore, GCD of numbers 119, 987, 59, 285 is 1

Given Input Data is 119, 987, 59, 285

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 59 is 59

Prime Factorization of 285 is 3 x 5 x 19

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(119, 987) = 16779

GCD(119, 987) = ( 119 x 987 ) / 16779

GCD(119, 987) = 117453 / 16779

GCD(119, 987) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 59

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

LCM(7, 59) = 413

GCD(7, 59) = ( 7 x 59 ) / 413

GCD(7, 59) = 413 / 413

GCD(7, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 285

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

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 1

GCD of 119, 987, 59, 285 is 1

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• GCD of 421, 990, 83, 838
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• GCD of 669, 841, 88, 965

1. What is the GCD of 119, 987, 59, 285?

GCD of 119, 987, 59, 285 is 1

2. Where do I get the detailed procedure to find GCD of 119, 987, 59, 285?

You can find a detailed procedure to find GCD of 119, 987, 59, 285 on our page.

3. How to find GCD of 119, 987, 59, 285 on a calculator?

You can find the GCD of 119, 987, 59, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.