GCD of 987, 565, 925, 991 Calculator

Given Input numbers are 987, 565, 925, 991

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 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 987, 565, 925, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 565, 925, 991 is 1.

Therefore, GCD of numbers 987, 565, 925, 991 is 1

Given Input Data is 987, 565, 925, 991

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 565 is 5 x 113

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 991 is 991

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, 565) = 557655

GCD(987, 565) = ( 987 x 565 ) / 557655

GCD(987, 565) = 557655 / 557655

GCD(987, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 987, 565, 925, 991 is 1

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1. What is the GCD of 987, 565, 925, 991?

GCD of 987, 565, 925, 991 is 1

2. Where do I get the detailed procedure to find GCD of 987, 565, 925, 991?

You can find a detailed procedure to find GCD of 987, 565, 925, 991 on our page.

3. How to find GCD of 987, 565, 925, 991 on a calculator?

You can find the GCD of 987, 565, 925, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.