GCD of 987, 755, 233, 505 Calculator

Given Input numbers are 987, 755, 233, 505

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

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 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 987, 755, 233, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 755, 233, 505 is 1.

Therefore, GCD of numbers 987, 755, 233, 505 is 1

Given Input Data is 987, 755, 233, 505

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 755 is 5 x 151

Prime Factorization of 233 is 233

Prime Factorization of 505 is 5 x 101

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(987, 755) = 745185

GCD(987, 755) = ( 987 x 755 ) / 745185

GCD(987, 755) = 745185 / 745185

GCD(987, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 233

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

LCM(1, 233) = 233

GCD(1, 233) = ( 1 x 233 ) / 233

GCD(1, 233) = 233 / 233

GCD(1, 233) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 987, 755, 233, 505 is 1

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1. What is the GCD of 987, 755, 233, 505?

GCD of 987, 755, 233, 505 is 1

2. Where do I get the detailed procedure to find GCD of 987, 755, 233, 505?

You can find a detailed procedure to find GCD of 987, 755, 233, 505 on our page.

3. How to find GCD of 987, 755, 233, 505 on a calculator?

You can find the GCD of 987, 755, 233, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.