GCD of 523, 987, 930, 767 Calculator

Given Input numbers are 523, 987, 930, 767

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

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 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 523, 987, 930, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 987, 930, 767 is 1.

Therefore, GCD of numbers 523, 987, 930, 767 is 1

Given Input Data is 523, 987, 930, 767

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

Prime Factorization of 523 is 523

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 767 is 13 x 59

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(523, 987) = 516201

GCD(523, 987) = ( 523 x 987 ) / 516201

GCD(523, 987) = 516201 / 516201

GCD(523, 987) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 930

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

LCM(1, 930) = 930

GCD(1, 930) = ( 1 x 930 ) / 930

GCD(1, 930) = 930 / 930

GCD(1, 930) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

GCD of 523, 987, 930, 767 is 1

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1. What is the GCD of 523, 987, 930, 767?

GCD of 523, 987, 930, 767 is 1

2. Where do I get the detailed procedure to find GCD of 523, 987, 930, 767?

You can find a detailed procedure to find GCD of 523, 987, 930, 767 on our page.

3. How to find GCD of 523, 987, 930, 767 on a calculator?

You can find the GCD of 523, 987, 930, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.